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Finding the Third Proportional to 387,136 and 576,540

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Solution

The third proportional to 387,136 and 576,540 is: 858,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,136 : 576,540 = 576,540 : x
  2. Step 2: Convert to fraction form
    387,136/576,540 = 576,540/x
  3. Step 3: Cross multiply
    387,136x = 576,540 × 576,540
  4. Step 4: Simplify right side
    387,136x = 332,398,371,600
  5. Step 5: Solve for x
    x = 332,398,371,600/387,136
  6. Step 6: Final answer
    x = 858,608.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.