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Finding the Third Proportional to 309,997.13 and 438,766.13

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Solution

The third proportional to 309,997.13 and 438,766.13 is: 621,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,997.13 : 438,766.13 = 438,766.13 : x
  2. Step 2: Convert to fraction form
    309,997.13/438,766.13 = 438,766.13/x
  3. Step 3: Cross multiply
    309,997.13x = 438,766.13 × 438,766.13
  4. Step 4: Simplify right side
    309,997.13x = 192,515,712,447.52
  5. Step 5: Solve for x
    x = 192,515,712,447.52/309,997.13
  6. Step 6: Final answer
    x = 621,024.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.