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Finding the Third Proportional to 296.75 and 688.25

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Solution

The third proportional to 296.75 and 688.25 is: 1,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.75 : 688.25 = 688.25 : x
  2. Step 2: Convert to fraction form
    296.75/688.25 = 688.25/x
  3. Step 3: Cross multiply
    296.75x = 688.25 × 688.25
  4. Step 4: Simplify right side
    296.75x = 473,688.06
  5. Step 5: Solve for x
    x = 473,688.06/296.75
  6. Step 6: Final answer
    x = 1,596.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.