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Finding the Third Proportional to 253,429 and 354,308

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Solution

The third proportional to 253,429 and 354,308 is: 495,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,429 : 354,308 = 354,308 : x
  2. Step 2: Convert to fraction form
    253,429/354,308 = 354,308/x
  3. Step 3: Cross multiply
    253,429x = 354,308 × 354,308
  4. Step 4: Simplify right side
    253,429x = 125,534,158,864
  5. Step 5: Solve for x
    x = 125,534,158,864/253,429
  6. Step 6: Final answer
    x = 495,342.52

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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.