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Finding the Third Proportional to 729 and 987.19

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Solution

The third proportional to 729 and 987.19 is: 1,336.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    729 : 987.19 = 987.19 : x
  2. Step 2: Convert to fraction form
    729/987.19 = 987.19/x
  3. Step 3: Cross multiply
    729x = 987.19 × 987.19
  4. Step 4: Simplify right side
    729x = 974,539.16
  5. Step 5: Solve for x
    x = 974,539.16/729
  6. Step 6: Final answer
    x = 1,336.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.