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Finding the Third Proportional to 121,651.88 and 162,726.47

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Solution

The third proportional to 121,651.88 and 162,726.47 is: 217,669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,651.88 : 162,726.47 = 162,726.47 : x
  2. Step 2: Convert to fraction form
    121,651.88/162,726.47 = 162,726.47/x
  3. Step 3: Cross multiply
    121,651.88x = 162,726.47 × 162,726.47
  4. Step 4: Simplify right side
    121,651.88x = 26,479,903,631.84
  5. Step 5: Solve for x
    x = 26,479,903,631.84/121,651.88
  6. Step 6: Final answer
    x = 217,669.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.