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Finding the Third Proportional to 122,362.88 and 172,317.38

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Solution

The third proportional to 122,362.88 and 172,317.38 is: 242,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,362.88 : 172,317.38 = 172,317.38 : x
  2. Step 2: Convert to fraction form
    122,362.88/172,317.38 = 172,317.38/x
  3. Step 3: Cross multiply
    122,362.88x = 172,317.38 × 172,317.38
  4. Step 4: Simplify right side
    122,362.88x = 29,693,277,726.89
  5. Step 5: Solve for x
    x = 29,693,277,726.89/122,362.88
  6. Step 6: Final answer
    x = 242,665.74

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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.