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Finding the Third Proportional to 108,721 and 153,103

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Solution

The third proportional to 108,721 and 153,103 is: 215,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,721 : 153,103 = 153,103 : x
  2. Step 2: Convert to fraction form
    108,721/153,103 = 153,103/x
  3. Step 3: Cross multiply
    108,721x = 153,103 × 153,103
  4. Step 4: Simplify right side
    108,721x = 23,440,528,609
  5. Step 5: Solve for x
    x = 23,440,528,609/108,721
  6. Step 6: Final answer
    x = 215,602.58

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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.