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Finding the Third Proportional to 687,031.88 and 1,465,381.13

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Solution

The third proportional to 687,031.88 and 1,465,381.13 is: 3,125,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,031.88 : 1,465,381.13 = 1,465,381.13 : x
  2. Step 2: Convert to fraction form
    687,031.88/1,465,381.13 = 1,465,381.13/x
  3. Step 3: Cross multiply
    687,031.88x = 1,465,381.13 × 1,465,381.13
  4. Step 4: Simplify right side
    687,031.88x = 2,147,341,841,506.27
  5. Step 5: Solve for x
    x = 2,147,341,841,506.27/687,031.88
  6. Step 6: Final answer
    x = 3,125,534.52

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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.