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Finding the Third Proportional to 497.75 and 913.38

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Solution

The third proportional to 497.75 and 913.38 is: 1,676.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.75 : 913.38 = 913.38 : x
  2. Step 2: Convert to fraction form
    497.75/913.38 = 913.38/x
  3. Step 3: Cross multiply
    497.75x = 913.38 × 913.38
  4. Step 4: Simplify right side
    497.75x = 834,253.89
  5. Step 5: Solve for x
    x = 834,253.89/497.75
  6. Step 6: Final answer
    x = 1,676.05

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.