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Finding the Third Proportional to 64,684 and 98,120

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Solution

The third proportional to 64,684 and 98,120 is: 148,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,684 : 98,120 = 98,120 : x
  2. Step 2: Convert to fraction form
    64,684/98,120 = 98,120/x
  3. Step 3: Cross multiply
    64,684x = 98,120 × 98,120
  4. Step 4: Simplify right side
    64,684x = 9,627,534,400
  5. Step 5: Solve for x
    x = 9,627,534,400/64,684
  6. Step 6: Final answer
    x = 148,839.50

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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.