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Finding the Third Proportional to 387,128 and 576,528

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Solution

The third proportional to 387,128 and 576,528 is: 858,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,128 : 576,528 = 576,528 : x
  2. Step 2: Convert to fraction form
    387,128/576,528 = 576,528/x
  3. Step 3: Cross multiply
    387,128x = 576,528 × 576,528
  4. Step 4: Simplify right side
    387,128x = 332,384,534,784
  5. Step 5: Solve for x
    x = 332,384,534,784/387,128
  6. Step 6: Final answer
    x = 858,590.79

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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.