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Finding the Third Proportional to 81,336 and 129,870.50

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Solution

The third proportional to 81,336 and 129,870.50 is: 207,366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,336 : 129,870.50 = 129,870.50 : x
  2. Step 2: Convert to fraction form
    81,336/129,870.50 = 129,870.50/x
  3. Step 3: Cross multiply
    81,336x = 129,870.50 × 129,870.50
  4. Step 4: Simplify right side
    81,336x = 16,866,346,770.25
  5. Step 5: Solve for x
    x = 16,866,346,770.25/81,336
  6. Step 6: Final answer
    x = 207,366.32

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.