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Finding the Third Proportional to 243,280.13 and 387,404.44

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Solution

The third proportional to 243,280.13 and 387,404.44 is: 616,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,280.13 : 387,404.44 = 387,404.44 : x
  2. Step 2: Convert to fraction form
    243,280.13/387,404.44 = 387,404.44/x
  3. Step 3: Cross multiply
    243,280.13x = 387,404.44 × 387,404.44
  4. Step 4: Simplify right side
    243,280.13x = 150,082,198,194.69
  5. Step 5: Solve for x
    x = 150,082,198,194.69/243,280.13
  6. Step 6: Final answer
    x = 616,911.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.