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Finding the Third Proportional to 127,122.68 and 172,648.34

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Solution

The third proportional to 127,122.68 and 172,648.34 is: 234,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,122.68 : 172,648.34 = 172,648.34 : x
  2. Step 2: Convert to fraction form
    127,122.68/172,648.34 = 172,648.34/x
  3. Step 3: Cross multiply
    127,122.68x = 172,648.34 × 172,648.34
  4. Step 4: Simplify right side
    127,122.68x = 29,807,447,901.99
  5. Step 5: Solve for x
    x = 29,807,447,901.99/127,122.68
  6. Step 6: Final answer
    x = 234,477.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.