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Finding the Third Proportional to 142,756 and 187,767

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Solution

The third proportional to 142,756 and 187,767 is: 246,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,756 : 187,767 = 187,767 : x
  2. Step 2: Convert to fraction form
    142,756/187,767 = 187,767/x
  3. Step 3: Cross multiply
    142,756x = 187,767 × 187,767
  4. Step 4: Simplify right side
    142,756x = 35,256,446,289
  5. Step 5: Solve for x
    x = 35,256,446,289/142,756
  6. Step 6: Final answer
    x = 246,969.98

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.