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Finding the Third Proportional to 172,478 and 257,655

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Solution

The third proportional to 172,478 and 257,655 is: 384,896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,478 : 257,655 = 257,655 : x
  2. Step 2: Convert to fraction form
    172,478/257,655 = 257,655/x
  3. Step 3: Cross multiply
    172,478x = 257,655 × 257,655
  4. Step 4: Simplify right side
    172,478x = 66,386,099,025
  5. Step 5: Solve for x
    x = 66,386,099,025/172,478
  6. Step 6: Final answer
    x = 384,896.04

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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.