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Finding the Third Proportional to 253,471.78 and 354,369.94

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Solution

The third proportional to 253,471.78 and 354,369.94 is: 495,432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,471.78 : 354,369.94 = 354,369.94 : x
  2. Step 2: Convert to fraction form
    253,471.78/354,369.94 = 354,369.94/x
  3. Step 3: Cross multiply
    253,471.78x = 354,369.94 × 354,369.94
  4. Step 4: Simplify right side
    253,471.78x = 125,578,052,603.75
  5. Step 5: Solve for x
    x = 125,578,052,603.75/253,471.78
  6. Step 6: Final answer
    x = 495,432.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.