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Finding the Third Proportional to 90,776 and 100,982

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Solution

The third proportional to 90,776 and 100,982 is: 112,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,776 : 100,982 = 100,982 : x
  2. Step 2: Convert to fraction form
    90,776/100,982 = 100,982/x
  3. Step 3: Cross multiply
    90,776x = 100,982 × 100,982
  4. Step 4: Simplify right side
    90,776x = 10,197,364,324
  5. Step 5: Solve for x
    x = 10,197,364,324/90,776
  6. Step 6: Final answer
    x = 112,335.47

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.