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Finding the Third Proportional to 387,249 and 557,745

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Solution

The third proportional to 387,249 and 557,745 is: 803,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,249 : 557,745 = 557,745 : x
  2. Step 2: Convert to fraction form
    387,249/557,745 = 557,745/x
  3. Step 3: Cross multiply
    387,249x = 557,745 × 557,745
  4. Step 4: Simplify right side
    387,249x = 311,079,485,025
  5. Step 5: Solve for x
    x = 311,079,485,025/387,249
  6. Step 6: Final answer
    x = 803,306.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.