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Finding the Third Proportional to 80,010 and 128,882

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Solution

The third proportional to 80,010 and 128,882 is: 207,606.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,010 : 128,882 = 128,882 : x
  2. Step 2: Convert to fraction form
    80,010/128,882 = 128,882/x
  3. Step 3: Cross multiply
    80,010x = 128,882 × 128,882
  4. Step 4: Simplify right side
    80,010x = 16,610,569,924
  5. Step 5: Solve for x
    x = 16,610,569,924/80,010
  6. Step 6: Final answer
    x = 207,606.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.