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Finding the Third Proportional to 305,460 and 671,142

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Solution

The third proportional to 305,460 and 671,142 is: 1,474,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,460 : 671,142 = 671,142 : x
  2. Step 2: Convert to fraction form
    305,460/671,142 = 671,142/x
  3. Step 3: Cross multiply
    305,460x = 671,142 × 671,142
  4. Step 4: Simplify right side
    305,460x = 450,431,584,164
  5. Step 5: Solve for x
    x = 450,431,584,164/305,460
  6. Step 6: Final answer
    x = 1,474,600.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.