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Finding the Third Proportional to 122,340.38 and 172,280.25

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Solution

The third proportional to 122,340.38 and 172,280.25 is: 242,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,340.38 : 172,280.25 = 172,280.25 : x
  2. Step 2: Convert to fraction form
    122,340.38/172,280.25 = 172,280.25/x
  3. Step 3: Cross multiply
    122,340.38x = 172,280.25 × 172,280.25
  4. Step 4: Simplify right side
    122,340.38x = 29,680,484,540.06
  5. Step 5: Solve for x
    x = 29,680,484,540.06/122,340.38
  6. Step 6: Final answer
    x = 242,605.80

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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.