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Finding the Third Proportional to 386,518 and 562,982

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Solution

The third proportional to 386,518 and 562,982 is: 820,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,518 : 562,982 = 562,982 : x
  2. Step 2: Convert to fraction form
    386,518/562,982 = 562,982/x
  3. Step 3: Cross multiply
    386,518x = 562,982 × 562,982
  4. Step 4: Simplify right side
    386,518x = 316,948,732,324
  5. Step 5: Solve for x
    x = 316,948,732,324/386,518
  6. Step 6: Final answer
    x = 820,010.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.