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Finding the Third Proportional to 120,732 and 157,752

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Solution

The third proportional to 120,732 and 157,752 is: 206,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,732 : 157,752 = 157,752 : x
  2. Step 2: Convert to fraction form
    120,732/157,752 = 157,752/x
  3. Step 3: Cross multiply
    120,732x = 157,752 × 157,752
  4. Step 4: Simplify right side
    120,732x = 24,885,693,504
  5. Step 5: Solve for x
    x = 24,885,693,504/120,732
  6. Step 6: Final answer
    x = 206,123.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.