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Finding the Third Proportional to 131,042 and 307,781

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Solution

The third proportional to 131,042 and 307,781 is: 722,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,042 : 307,781 = 307,781 : x
  2. Step 2: Convert to fraction form
    131,042/307,781 = 307,781/x
  3. Step 3: Cross multiply
    131,042x = 307,781 × 307,781
  4. Step 4: Simplify right side
    131,042x = 94,729,143,961
  5. Step 5: Solve for x
    x = 94,729,143,961/131,042
  6. Step 6: Final answer
    x = 722,891.47

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.