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Finding the Third Proportional to 66,506 and 99,471

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Solution

The third proportional to 66,506 and 99,471 is: 148,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,506 : 99,471 = 99,471 : x
  2. Step 2: Convert to fraction form
    66,506/99,471 = 99,471/x
  3. Step 3: Cross multiply
    66,506x = 99,471 × 99,471
  4. Step 4: Simplify right side
    66,506x = 9,894,479,841
  5. Step 5: Solve for x
    x = 9,894,479,841/66,506
  6. Step 6: Final answer
    x = 148,775.75

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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.