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Finding the Third Proportional to 335,592,237,924 and 719,052,429,384

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Solution

The third proportional to 335,592,237,924 and 719,052,429,384 is: 1,540,668,519,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,592,237,924 : 719,052,429,384 = 719,052,429,384 : x
  2. Step 2: Convert to fraction form
    335,592,237,924/719,052,429,384 = 719,052,429,384/x
  3. Step 3: Cross multiply
    335,592,237,924x = 719,052,429,384 × 719,052,429,384
  4. Step 4: Simplify right side
    335,592,237,924x = 517,036,396,203,032,327,487,488
  5. Step 5: Solve for x
    x = 517,036,396,203,032,327,487,488/335,592,237,924
  6. Step 6: Final answer
    x = 1,540,668,519,038.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.