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Finding the Third Proportional to 81,426 and 129,244.50

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Solution

The third proportional to 81,426 and 129,244.50 is: 205,145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,426 : 129,244.50 = 129,244.50 : x
  2. Step 2: Convert to fraction form
    81,426/129,244.50 = 129,244.50/x
  3. Step 3: Cross multiply
    81,426x = 129,244.50 × 129,244.50
  4. Step 4: Simplify right side
    81,426x = 16,704,140,780.25
  5. Step 5: Solve for x
    x = 16,704,140,780.25/81,426
  6. Step 6: Final answer
    x = 205,145.05

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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.