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Finding the Third Proportional to 276,270.75 and 427,518

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Solution

The third proportional to 276,270.75 and 427,518 is: 661,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,270.75 : 427,518 = 427,518 : x
  2. Step 2: Convert to fraction form
    276,270.75/427,518 = 427,518/x
  3. Step 3: Cross multiply
    276,270.75x = 427,518 × 427,518
  4. Step 4: Simplify right side
    276,270.75x = 182,771,640,324
  5. Step 5: Solve for x
    x = 182,771,640,324/276,270.75
  6. Step 6: Final answer
    x = 661,567.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.