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Finding the Third Proportional to 275,257 and 402,262

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Solution

The third proportional to 275,257 and 402,262 is: 587,867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,257 : 402,262 = 402,262 : x
  2. Step 2: Convert to fraction form
    275,257/402,262 = 402,262/x
  3. Step 3: Cross multiply
    275,257x = 402,262 × 402,262
  4. Step 4: Simplify right side
    275,257x = 161,814,716,644
  5. Step 5: Solve for x
    x = 161,814,716,644/275,257
  6. Step 6: Final answer
    x = 587,867.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.