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Finding the Third Proportional to 90,639 and 129,849.75

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Solution

The third proportional to 90,639 and 129,849.75 is: 186,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,639 : 129,849.75 = 129,849.75 : x
  2. Step 2: Convert to fraction form
    90,639/129,849.75 = 129,849.75/x
  3. Step 3: Cross multiply
    90,639x = 129,849.75 × 129,849.75
  4. Step 4: Simplify right side
    90,639x = 16,860,957,575.06
  5. Step 5: Solve for x
    x = 16,860,957,575.06/90,639
  6. Step 6: Final answer
    x = 186,023.21

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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.