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Finding the Third Proportional to 387,130 and 576,531

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Solution

The third proportional to 387,130 and 576,531 is: 858,595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,130 : 576,531 = 576,531 : x
  2. Step 2: Convert to fraction form
    387,130/576,531 = 576,531/x
  3. Step 3: Cross multiply
    387,130x = 576,531 × 576,531
  4. Step 4: Simplify right side
    387,130x = 332,387,993,961
  5. Step 5: Solve for x
    x = 332,387,993,961/387,130
  6. Step 6: Final answer
    x = 858,595.29

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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.