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Finding the Third Proportional to 142,865 and 209,866

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Solution

The third proportional to 142,865 and 209,866 is: 308,289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,865 : 209,866 = 209,866 : x
  2. Step 2: Convert to fraction form
    142,865/209,866 = 209,866/x
  3. Step 3: Cross multiply
    142,865x = 209,866 × 209,866
  4. Step 4: Simplify right side
    142,865x = 44,043,737,956
  5. Step 5: Solve for x
    x = 44,043,737,956/142,865
  6. Step 6: Final answer
    x = 308,289.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.