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Finding the Third Proportional to 87,467 and 139,246

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Solution

The third proportional to 87,467 and 139,246 is: 221,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,467 : 139,246 = 139,246 : x
  2. Step 2: Convert to fraction form
    87,467/139,246 = 139,246/x
  3. Step 3: Cross multiply
    87,467x = 139,246 × 139,246
  4. Step 4: Simplify right side
    87,467x = 19,389,448,516
  5. Step 5: Solve for x
    x = 19,389,448,516/87,467
  6. Step 6: Final answer
    x = 221,677.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.