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Finding the Third Proportional to 108,553 and 166,987

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Solution

The third proportional to 108,553 and 166,987 is: 256,875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,553 : 166,987 = 166,987 : x
  2. Step 2: Convert to fraction form
    108,553/166,987 = 166,987/x
  3. Step 3: Cross multiply
    108,553x = 166,987 × 166,987
  4. Step 4: Simplify right side
    108,553x = 27,884,658,169
  5. Step 5: Solve for x
    x = 27,884,658,169/108,553
  6. Step 6: Final answer
    x = 256,875.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.