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Finding the Third Proportional to 255,438 and 555,092

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Solution

The third proportional to 255,438 and 555,092 is: 1,206,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,438 : 555,092 = 555,092 : x
  2. Step 2: Convert to fraction form
    255,438/555,092 = 555,092/x
  3. Step 3: Cross multiply
    255,438x = 555,092 × 555,092
  4. Step 4: Simplify right side
    255,438x = 308,127,128,464
  5. Step 5: Solve for x
    x = 308,127,128,464/255,438
  6. Step 6: Final answer
    x = 1,206,269.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.