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Finding the Third Proportional to 108,729 and 153,117

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Solution

The third proportional to 108,729 and 153,117 is: 215,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,729 : 153,117 = 153,117 : x
  2. Step 2: Convert to fraction form
    108,729/153,117 = 153,117/x
  3. Step 3: Cross multiply
    108,729x = 153,117 × 153,117
  4. Step 4: Simplify right side
    108,729x = 23,444,815,689
  5. Step 5: Solve for x
    x = 23,444,815,689/108,729
  6. Step 6: Final answer
    x = 215,626.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.