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Finding the Third Proportional to 87,236 and 138,363

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Solution

The third proportional to 87,236 and 138,363 is: 219,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,236 : 138,363 = 138,363 : x
  2. Step 2: Convert to fraction form
    87,236/138,363 = 138,363/x
  3. Step 3: Cross multiply
    87,236x = 138,363 × 138,363
  4. Step 4: Simplify right side
    87,236x = 19,144,319,769
  5. Step 5: Solve for x
    x = 19,144,319,769/87,236
  6. Step 6: Final answer
    x = 219,454.35

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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.