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Finding the Third Proportional to 387,454 and 581,577

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Solution

The third proportional to 387,454 and 581,577 is: 872,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,454 : 581,577 = 581,577 : x
  2. Step 2: Convert to fraction form
    387,454/581,577 = 581,577/x
  3. Step 3: Cross multiply
    387,454x = 581,577 × 581,577
  4. Step 4: Simplify right side
    387,454x = 338,231,806,929
  5. Step 5: Solve for x
    x = 338,231,806,929/387,454
  6. Step 6: Final answer
    x = 872,959.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.