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Finding the Third Proportional to 266,040 and 391,275

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Solution

The third proportional to 266,040 and 391,275 is: 575,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,040 : 391,275 = 391,275 : x
  2. Step 2: Convert to fraction form
    266,040/391,275 = 391,275/x
  3. Step 3: Cross multiply
    266,040x = 391,275 × 391,275
  4. Step 4: Simplify right side
    266,040x = 153,096,125,625
  5. Step 5: Solve for x
    x = 153,096,125,625/266,040
  6. Step 6: Final answer
    x = 575,462.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.