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Finding the Third Proportional to 292.60 and 611.53

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Solution

The third proportional to 292.60 and 611.53 is: 1,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.60 : 611.53 = 611.53 : x
  2. Step 2: Convert to fraction form
    292.60/611.53 = 611.53/x
  3. Step 3: Cross multiply
    292.60x = 611.53 × 611.53
  4. Step 4: Simplify right side
    292.60x = 373,974.05
  5. Step 5: Solve for x
    x = 373,974.05/292.60
  6. Step 6: Final answer
    x = 1,278.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.