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Finding the Third Proportional to 142,747.31 and 199,586.53

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Solution

The third proportional to 142,747.31 and 199,586.53 is: 279,058.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,747.31 : 199,586.53 = 199,586.53 : x
  2. Step 2: Convert to fraction form
    142,747.31/199,586.53 = 199,586.53/x
  3. Step 3: Cross multiply
    142,747.31x = 199,586.53 × 199,586.53
  4. Step 4: Simplify right side
    142,747.31x = 39,834,783,456.41
  5. Step 5: Solve for x
    x = 39,834,783,456.41/142,747.31
  6. Step 6: Final answer
    x = 279,058.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.