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Finding the Third Proportional to 386,964 and 586,287

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Solution

The third proportional to 386,964 and 586,287 is: 888,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,964 : 586,287 = 586,287 : x
  2. Step 2: Convert to fraction form
    386,964/586,287 = 586,287/x
  3. Step 3: Cross multiply
    386,964x = 586,287 × 586,287
  4. Step 4: Simplify right side
    386,964x = 343,732,446,369
  5. Step 5: Solve for x
    x = 343,732,446,369/386,964
  6. Step 6: Final answer
    x = 888,280.17

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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.