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Finding the Third Proportional to 277,387 and 354,448

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Solution

The third proportional to 277,387 and 354,448 is: 452,917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,387 : 354,448 = 354,448 : x
  2. Step 2: Convert to fraction form
    277,387/354,448 = 354,448/x
  3. Step 3: Cross multiply
    277,387x = 354,448 × 354,448
  4. Step 4: Simplify right side
    277,387x = 125,633,384,704
  5. Step 5: Solve for x
    x = 125,633,384,704/277,387
  6. Step 6: Final answer
    x = 452,917.35

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.