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Finding the Third Proportional to 140,418 and 304,650

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Solution

The third proportional to 140,418 and 304,650 is: 660,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,418 : 304,650 = 304,650 : x
  2. Step 2: Convert to fraction form
    140,418/304,650 = 304,650/x
  3. Step 3: Cross multiply
    140,418x = 304,650 × 304,650
  4. Step 4: Simplify right side
    140,418x = 92,811,622,500
  5. Step 5: Solve for x
    x = 92,811,622,500/140,418
  6. Step 6: Final answer
    x = 660,966.70

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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.