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Finding the Third Proportional to 972 and 1,732

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Solution

The third proportional to 972 and 1,732 is: 3,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    972 : 1,732 = 1,732 : x
  2. Step 2: Convert to fraction form
    972/1,732 = 1,732/x
  3. Step 3: Cross multiply
    972x = 1,732 × 1,732
  4. Step 4: Simplify right side
    972x = 2,999,824
  5. Step 5: Solve for x
    x = 2,999,824/972
  6. Step 6: Final answer
    x = 3,086.24

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.