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Finding the Third Proportional to 253,458 and 354,353

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Solution

The third proportional to 253,458 and 354,353 is: 495,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,458 : 354,353 = 354,353 : x
  2. Step 2: Convert to fraction form
    253,458/354,353 = 354,353/x
  3. Step 3: Cross multiply
    253,458x = 354,353 × 354,353
  4. Step 4: Simplify right side
    253,458x = 125,566,048,609
  5. Step 5: Solve for x
    x = 125,566,048,609/253,458
  6. Step 6: Final answer
    x = 495,411.66

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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.