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Finding the Third Proportional to 687.66 and 1,064.39

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Solution

The third proportional to 687.66 and 1,064.39 is: 1,647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.66 : 1,064.39 = 1,064.39 : x
  2. Step 2: Convert to fraction form
    687.66/1,064.39 = 1,064.39/x
  3. Step 3: Cross multiply
    687.66x = 1,064.39 × 1,064.39
  4. Step 4: Simplify right side
    687.66x = 1,132,927.40
  5. Step 5: Solve for x
    x = 1,132,927.40/687.66
  6. Step 6: Final answer
    x = 1,647.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.