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Finding the Third Proportional to 140,829 and 305,548

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Solution

The third proportional to 140,829 and 305,548 is: 662,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,829 : 305,548 = 305,548 : x
  2. Step 2: Convert to fraction form
    140,829/305,548 = 305,548/x
  3. Step 3: Cross multiply
    140,829x = 305,548 × 305,548
  4. Step 4: Simplify right side
    140,829x = 93,359,580,304
  5. Step 5: Solve for x
    x = 93,359,580,304/140,829
  6. Step 6: Final answer
    x = 662,928.66

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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.