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Finding the Third Proportional to 64,908 and 98,580

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Solution

The third proportional to 64,908 and 98,580 is: 149,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,908 : 98,580 = 98,580 : x
  2. Step 2: Convert to fraction form
    64,908/98,580 = 98,580/x
  3. Step 3: Cross multiply
    64,908x = 98,580 × 98,580
  4. Step 4: Simplify right side
    64,908x = 9,718,016,400
  5. Step 5: Solve for x
    x = 9,718,016,400/64,908
  6. Step 6: Final answer
    x = 149,719.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.