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Finding the Third Proportional to 66,410 and 99,687

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Solution

The third proportional to 66,410 and 99,687 is: 149,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,410 : 99,687 = 99,687 : x
  2. Step 2: Convert to fraction form
    66,410/99,687 = 99,687/x
  3. Step 3: Cross multiply
    66,410x = 99,687 × 99,687
  4. Step 4: Simplify right side
    66,410x = 9,937,497,969
  5. Step 5: Solve for x
    x = 9,937,497,969/66,410
  6. Step 6: Final answer
    x = 149,638.58

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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.