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Finding the Third Proportional to 142,512 and 307,866

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Solution

The third proportional to 142,512 and 307,866 is: 665,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,512 : 307,866 = 307,866 : x
  2. Step 2: Convert to fraction form
    142,512/307,866 = 307,866/x
  3. Step 3: Cross multiply
    142,512x = 307,866 × 307,866
  4. Step 4: Simplify right side
    142,512x = 94,781,473,956
  5. Step 5: Solve for x
    x = 94,781,473,956/142,512
  6. Step 6: Final answer
    x = 665,077.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.