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Finding the Third Proportional to 66,448 and 98,720

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Solution

The third proportional to 66,448 and 98,720 is: 146,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,448 : 98,720 = 98,720 : x
  2. Step 2: Convert to fraction form
    66,448/98,720 = 98,720/x
  3. Step 3: Cross multiply
    66,448x = 98,720 × 98,720
  4. Step 4: Simplify right side
    66,448x = 9,745,638,400
  5. Step 5: Solve for x
    x = 9,745,638,400/66,448
  6. Step 6: Final answer
    x = 146,665.64

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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.