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Finding the Third Proportional to 72,405 and 127,637

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Solution

The third proportional to 72,405 and 127,637 is: 225,001.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,405 : 127,637 = 127,637 : x
  2. Step 2: Convert to fraction form
    72,405/127,637 = 127,637/x
  3. Step 3: Cross multiply
    72,405x = 127,637 × 127,637
  4. Step 4: Simplify right side
    72,405x = 16,291,203,769
  5. Step 5: Solve for x
    x = 16,291,203,769/72,405
  6. Step 6: Final answer
    x = 225,001.09

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.