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Finding the Third Proportional to 66,435 and 99,382.50

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Solution

The third proportional to 66,435 and 99,382.50 is: 148,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,435 : 99,382.50 = 99,382.50 : x
  2. Step 2: Convert to fraction form
    66,435/99,382.50 = 99,382.50/x
  3. Step 3: Cross multiply
    66,435x = 99,382.50 × 99,382.50
  4. Step 4: Simplify right side
    66,435x = 9,876,881,306.25
  5. Step 5: Solve for x
    x = 9,876,881,306.25/66,435
  6. Step 6: Final answer
    x = 148,669.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.