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Finding the Third Proportional to 140,795 and 306,377

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Solution

The third proportional to 140,795 and 306,377 is: 666,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,795 : 306,377 = 306,377 : x
  2. Step 2: Convert to fraction form
    140,795/306,377 = 306,377/x
  3. Step 3: Cross multiply
    140,795x = 306,377 × 306,377
  4. Step 4: Simplify right side
    140,795x = 93,866,866,129
  5. Step 5: Solve for x
    x = 93,866,866,129/140,795
  6. Step 6: Final answer
    x = 666,691.76

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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.