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Finding the Third Proportional to 280,332 and 423,843

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Solution

The third proportional to 280,332 and 423,843 is: 640,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,332 : 423,843 = 423,843 : x
  2. Step 2: Convert to fraction form
    280,332/423,843 = 423,843/x
  3. Step 3: Cross multiply
    280,332x = 423,843 × 423,843
  4. Step 4: Simplify right side
    280,332x = 179,642,888,649
  5. Step 5: Solve for x
    x = 179,642,888,649/280,332
  6. Step 6: Final answer
    x = 640,821.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.