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Finding the Third Proportional to 386,074 and 586,982

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Solution

The third proportional to 386,074 and 586,982 is: 892,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,074 : 586,982 = 586,982 : x
  2. Step 2: Convert to fraction form
    386,074/586,982 = 586,982/x
  3. Step 3: Cross multiply
    386,074x = 586,982 × 586,982
  4. Step 4: Simplify right side
    386,074x = 344,547,868,324
  5. Step 5: Solve for x
    x = 344,547,868,324/386,074
  6. Step 6: Final answer
    x = 892,439.97

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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.