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Finding the Third Proportional to 140,877 and 305,635.50

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Solution

The third proportional to 140,877 and 305,635.50 is: 663,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,877 : 305,635.50 = 305,635.50 : x
  2. Step 2: Convert to fraction form
    140,877/305,635.50 = 305,635.50/x
  3. Step 3: Cross multiply
    140,877x = 305,635.50 × 305,635.50
  4. Step 4: Simplify right side
    140,877x = 93,413,058,860.25
  5. Step 5: Solve for x
    x = 93,413,058,860.25/140,877
  6. Step 6: Final answer
    x = 663,082.40

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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.