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Finding the Third Proportional to 276,851.25 and 426,961.13

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Solution

The third proportional to 276,851.25 and 426,961.13 is: 658,461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,851.25 : 426,961.13 = 426,961.13 : x
  2. Step 2: Convert to fraction form
    276,851.25/426,961.13 = 426,961.13/x
  3. Step 3: Cross multiply
    276,851.25x = 426,961.13 × 426,961.13
  4. Step 4: Simplify right side
    276,851.25x = 182,295,802,261.27
  5. Step 5: Solve for x
    x = 182,295,802,261.27/276,851.25
  6. Step 6: Final answer
    x = 658,461.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.