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Finding the Third Proportional to 172,458.75 and 257,626.13

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Solution

The third proportional to 172,458.75 and 257,626.13 is: 384,852.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,458.75 : 257,626.13 = 257,626.13 : x
  2. Step 2: Convert to fraction form
    172,458.75/257,626.13 = 257,626.13/x
  3. Step 3: Cross multiply
    172,458.75x = 257,626.13 × 257,626.13
  4. Step 4: Simplify right side
    172,458.75x = 66,371,220,282.52
  5. Step 5: Solve for x
    x = 66,371,220,282.52/172,458.75
  6. Step 6: Final answer
    x = 384,852.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.