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Finding the Third Proportional to 66,454 and 98,729

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Solution

The third proportional to 66,454 and 98,729 is: 146,679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,454 : 98,729 = 98,729 : x
  2. Step 2: Convert to fraction form
    66,454/98,729 = 98,729/x
  3. Step 3: Cross multiply
    66,454x = 98,729 × 98,729
  4. Step 4: Simplify right side
    66,454x = 9,747,415,441
  5. Step 5: Solve for x
    x = 9,747,415,441/66,454
  6. Step 6: Final answer
    x = 146,679.14

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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.