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Finding the Third Proportional to 379,348 and 817,508

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Solution

The third proportional to 379,348 and 817,508 is: 1,761,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,348 : 817,508 = 817,508 : x
  2. Step 2: Convert to fraction form
    379,348/817,508 = 817,508/x
  3. Step 3: Cross multiply
    379,348x = 817,508 × 817,508
  4. Step 4: Simplify right side
    379,348x = 668,319,330,064
  5. Step 5: Solve for x
    x = 668,319,330,064/379,348
  6. Step 6: Final answer
    x = 1,761,757.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.