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Finding the Third Proportional to 687,029 and 1,465,372

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Solution

The third proportional to 687,029 and 1,465,372 is: 3,125,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,029 : 1,465,372 = 1,465,372 : x
  2. Step 2: Convert to fraction form
    687,029/1,465,372 = 1,465,372/x
  3. Step 3: Cross multiply
    687,029x = 1,465,372 × 1,465,372
  4. Step 4: Simplify right side
    687,029x = 2,147,315,098,384
  5. Step 5: Solve for x
    x = 2,147,315,098,384/687,029
  6. Step 6: Final answer
    x = 3,125,508.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.