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Finding the Third Proportional to 688.50 and 986.13

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Solution

The third proportional to 688.50 and 986.13 is: 1,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.50 : 986.13 = 986.13 : x
  2. Step 2: Convert to fraction form
    688.50/986.13 = 986.13/x
  3. Step 3: Cross multiply
    688.50x = 986.13 × 986.13
  4. Step 4: Simplify right side
    688.50x = 972,442.52
  5. Step 5: Solve for x
    x = 972,442.52/688.50
  6. Step 6: Final answer
    x = 1,412.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.