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Finding the Third Proportional to 66,339 and 99,468

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Solution

The third proportional to 66,339 and 99,468 is: 149,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,339 : 99,468 = 99,468 : x
  2. Step 2: Convert to fraction form
    66,339/99,468 = 99,468/x
  3. Step 3: Cross multiply
    66,339x = 99,468 × 99,468
  4. Step 4: Simplify right side
    66,339x = 9,893,883,024
  5. Step 5: Solve for x
    x = 9,893,883,024/66,339
  6. Step 6: Final answer
    x = 149,141.27

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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.