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Finding the Third Proportional to 172,479.38 and 260,258.06

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Solution

The third proportional to 172,479.38 and 260,258.06 is: 392,709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,479.38 : 260,258.06 = 260,258.06 : x
  2. Step 2: Convert to fraction form
    172,479.38/260,258.06 = 260,258.06/x
  3. Step 3: Cross multiply
    172,479.38x = 260,258.06 × 260,258.06
  4. Step 4: Simplify right side
    172,479.38x = 67,734,259,096.25
  5. Step 5: Solve for x
    x = 67,734,259,096.25/172,479.38
  6. Step 6: Final answer
    x = 392,709.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.