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Finding the Third Proportional to 75,732 and 112,128

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Solution

The third proportional to 75,732 and 112,128 is: 166,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,732 : 112,128 = 112,128 : x
  2. Step 2: Convert to fraction form
    75,732/112,128 = 112,128/x
  3. Step 3: Cross multiply
    75,732x = 112,128 × 112,128
  4. Step 4: Simplify right side
    75,732x = 12,572,688,384
  5. Step 5: Solve for x
    x = 12,572,688,384/75,732
  6. Step 6: Final answer
    x = 166,015.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.