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Finding the Third Proportional to 355,023 and 772,740

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Solution

The third proportional to 355,023 and 772,740 is: 1,681,939.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,023 : 772,740 = 772,740 : x
  2. Step 2: Convert to fraction form
    355,023/772,740 = 772,740/x
  3. Step 3: Cross multiply
    355,023x = 772,740 × 772,740
  4. Step 4: Simplify right side
    355,023x = 597,127,107,600
  5. Step 5: Solve for x
    x = 597,127,107,600/355,023
  6. Step 6: Final answer
    x = 1,681,939.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.