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Finding the Third Proportional to 294.88 and 688.63

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Solution

The third proportional to 294.88 and 688.63 is: 1,608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.88 : 688.63 = 688.63 : x
  2. Step 2: Convert to fraction form
    294.88/688.63 = 688.63/x
  3. Step 3: Cross multiply
    294.88x = 688.63 × 688.63
  4. Step 4: Simplify right side
    294.88x = 474,204.39
  5. Step 5: Solve for x
    x = 474,204.39/294.88
  6. Step 6: Final answer
    x = 1,608.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.