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Finding the Third Proportional to 706.75 and 987.13

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Solution

The third proportional to 706.75 and 987.13 is: 1,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.75 : 987.13 = 987.13 : x
  2. Step 2: Convert to fraction form
    706.75/987.13 = 987.13/x
  3. Step 3: Cross multiply
    706.75x = 987.13 × 987.13
  4. Step 4: Simplify right side
    706.75x = 974,415.77
  5. Step 5: Solve for x
    x = 974,415.77/706.75
  6. Step 6: Final answer
    x = 1,378.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.