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Finding the Third Proportional to 66,488 and 102,191

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Solution

The third proportional to 66,488 and 102,191 is: 157,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,488 : 102,191 = 102,191 : x
  2. Step 2: Convert to fraction form
    66,488/102,191 = 102,191/x
  3. Step 3: Cross multiply
    66,488x = 102,191 × 102,191
  4. Step 4: Simplify right side
    66,488x = 10,443,000,481
  5. Step 5: Solve for x
    x = 10,443,000,481/66,488
  6. Step 6: Final answer
    x = 157,065.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.