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Finding the Third Proportional to 140,377 and 305,349.63

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Solution

The third proportional to 140,377 and 305,349.63 is: 664,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,377 : 305,349.63 = 305,349.63 : x
  2. Step 2: Convert to fraction form
    140,377/305,349.63 = 305,349.63/x
  3. Step 3: Cross multiply
    140,377x = 305,349.63 × 305,349.63
  4. Step 4: Simplify right side
    140,377x = 93,238,393,487.64
  5. Step 5: Solve for x
    x = 93,238,393,487.64/140,377
  6. Step 6: Final answer
    x = 664,199.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.