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Finding the Third Proportional to 386,018 and 585,587

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Solution

The third proportional to 386,018 and 585,587 is: 888,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,018 : 585,587 = 585,587 : x
  2. Step 2: Convert to fraction form
    386,018/585,587 = 585,587/x
  3. Step 3: Cross multiply
    386,018x = 585,587 × 585,587
  4. Step 4: Simplify right side
    386,018x = 342,912,134,569
  5. Step 5: Solve for x
    x = 342,912,134,569/386,018
  6. Step 6: Final answer
    x = 888,331.98

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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.