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Finding the Third Proportional to 66,560 and 99,488

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Solution

The third proportional to 66,560 and 99,488 is: 148,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,560 : 99,488 = 99,488 : x
  2. Step 2: Convert to fraction form
    66,560/99,488 = 99,488/x
  3. Step 3: Cross multiply
    66,560x = 99,488 × 99,488
  4. Step 4: Simplify right side
    66,560x = 9,897,862,144
  5. Step 5: Solve for x
    x = 9,897,862,144/66,560
  6. Step 6: Final answer
    x = 148,705.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.