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Finding the Third Proportional to 66,486 and 99,503

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Solution

The third proportional to 66,486 and 99,503 is: 148,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,486 : 99,503 = 99,503 : x
  2. Step 2: Convert to fraction form
    66,486/99,503 = 99,503/x
  3. Step 3: Cross multiply
    66,486x = 99,503 × 99,503
  4. Step 4: Simplify right side
    66,486x = 9,900,847,009
  5. Step 5: Solve for x
    x = 9,900,847,009/66,486
  6. Step 6: Final answer
    x = 148,916.27

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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.