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Finding the Third Proportional to 87,476 and 139,258

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Solution

The third proportional to 87,476 and 139,258 is: 221,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,476 : 139,258 = 139,258 : x
  2. Step 2: Convert to fraction form
    87,476/139,258 = 139,258/x
  3. Step 3: Cross multiply
    87,476x = 139,258 × 139,258
  4. Step 4: Simplify right side
    87,476x = 19,392,790,564
  5. Step 5: Solve for x
    x = 19,392,790,564/87,476
  6. Step 6: Final answer
    x = 221,692.70

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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.