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Finding the Third Proportional to 357,230 and 486,471

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Solution

The third proportional to 357,230 and 486,471 is: 662,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,230 : 486,471 = 486,471 : x
  2. Step 2: Convert to fraction form
    357,230/486,471 = 486,471/x
  3. Step 3: Cross multiply
    357,230x = 486,471 × 486,471
  4. Step 4: Simplify right side
    357,230x = 236,654,033,841
  5. Step 5: Solve for x
    x = 236,654,033,841/357,230
  6. Step 6: Final answer
    x = 662,469.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.