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Finding the Third Proportional to 90,826 and 129,733

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Solution

The third proportional to 90,826 and 129,733 is: 185,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,826 : 129,733 = 129,733 : x
  2. Step 2: Convert to fraction form
    90,826/129,733 = 129,733/x
  3. Step 3: Cross multiply
    90,826x = 129,733 × 129,733
  4. Step 4: Simplify right side
    90,826x = 16,830,651,289
  5. Step 5: Solve for x
    x = 16,830,651,289/90,826
  6. Step 6: Final answer
    x = 185,306.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.