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Finding the Third Proportional to 253,447.88 and 354,336.19

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Solution

The third proportional to 253,447.88 and 354,336.19 is: 495,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,447.88 : 354,336.19 = 354,336.19 : x
  2. Step 2: Convert to fraction form
    253,447.88/354,336.19 = 354,336.19/x
  3. Step 3: Cross multiply
    253,447.88x = 354,336.19 × 354,336.19
  4. Step 4: Simplify right side
    253,447.88x = 125,554,133,772.04
  5. Step 5: Solve for x
    x = 125,554,133,772.04/253,447.88
  6. Step 6: Final answer
    x = 495,384.44

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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.