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Finding the Third Proportional to 66,872 and 99,202

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Solution

The third proportional to 66,872 and 99,202 is: 147,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,872 : 99,202 = 99,202 : x
  2. Step 2: Convert to fraction form
    66,872/99,202 = 99,202/x
  3. Step 3: Cross multiply
    66,872x = 99,202 × 99,202
  4. Step 4: Simplify right side
    66,872x = 9,841,036,804
  5. Step 5: Solve for x
    x = 9,841,036,804/66,872
  6. Step 6: Final answer
    x = 147,162.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.