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Finding the Third Proportional to 687.71 and 1,490.75

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Solution

The third proportional to 687.71 and 1,490.75 is: 3,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.71 : 1,490.75 = 1,490.75 : x
  2. Step 2: Convert to fraction form
    687.71/1,490.75 = 1,490.75/x
  3. Step 3: Cross multiply
    687.71x = 1,490.75 × 1,490.75
  4. Step 4: Simplify right side
    687.71x = 2,222,329.74
  5. Step 5: Solve for x
    x = 2,222,329.74/687.71
  6. Step 6: Final answer
    x = 3,231.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.