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Finding the Third Proportional to 172,972 and 262,959

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Solution

The third proportional to 172,972 and 262,959 is: 399,760.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,972 : 262,959 = 262,959 : x
  2. Step 2: Convert to fraction form
    172,972/262,959 = 262,959/x
  3. Step 3: Cross multiply
    172,972x = 262,959 × 262,959
  4. Step 4: Simplify right side
    172,972x = 69,147,435,681
  5. Step 5: Solve for x
    x = 69,147,435,681/172,972
  6. Step 6: Final answer
    x = 399,760.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.