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Finding the Third Proportional to 438,319.13 and 655,714.13

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Solution

The third proportional to 438,319.13 and 655,714.13 is: 980,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,319.13 : 655,714.13 = 655,714.13 : x
  2. Step 2: Convert to fraction form
    438,319.13/655,714.13 = 655,714.13/x
  3. Step 3: Cross multiply
    438,319.13x = 655,714.13 × 655,714.13
  4. Step 4: Simplify right side
    438,319.13x = 429,961,013,724.52
  5. Step 5: Solve for x
    x = 429,961,013,724.52/438,319.13
  6. Step 6: Final answer
    x = 980,931.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.