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Finding the Third Proportional to 63,400 and 98,729

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Solution

The third proportional to 63,400 and 98,729 is: 153,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,400 : 98,729 = 98,729 : x
  2. Step 2: Convert to fraction form
    63,400/98,729 = 98,729/x
  3. Step 3: Cross multiply
    63,400x = 98,729 × 98,729
  4. Step 4: Simplify right side
    63,400x = 9,747,415,441
  5. Step 5: Solve for x
    x = 9,747,415,441/63,400
  6. Step 6: Final answer
    x = 153,744.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.