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Finding the Third Proportional to 387,049 and 586,412

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Solution

The third proportional to 387,049 and 586,412 is: 888,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,049 : 586,412 = 586,412 : x
  2. Step 2: Convert to fraction form
    387,049/586,412 = 586,412/x
  3. Step 3: Cross multiply
    387,049x = 586,412 × 586,412
  4. Step 4: Simplify right side
    387,049x = 343,879,033,744
  5. Step 5: Solve for x
    x = 343,879,033,744/387,049
  6. Step 6: Final answer
    x = 888,463.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.