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Finding the Third Proportional to 335,139 and 718,254

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Solution

The third proportional to 335,139 and 718,254 is: 1,539,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,139 : 718,254 = 718,254 : x
  2. Step 2: Convert to fraction form
    335,139/718,254 = 718,254/x
  3. Step 3: Cross multiply
    335,139x = 718,254 × 718,254
  4. Step 4: Simplify right side
    335,139x = 515,888,808,516
  5. Step 5: Solve for x
    x = 515,888,808,516/335,139
  6. Step 6: Final answer
    x = 1,539,327.89

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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.