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Finding the Third Proportional to 391,718 and 817,492

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Solution

The third proportional to 391,718 and 817,492 is: 1,706,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,718 : 817,492 = 817,492 : x
  2. Step 2: Convert to fraction form
    391,718/817,492 = 817,492/x
  3. Step 3: Cross multiply
    391,718x = 817,492 × 817,492
  4. Step 4: Simplify right side
    391,718x = 668,293,170,064
  5. Step 5: Solve for x
    x = 668,293,170,064/391,718
  6. Step 6: Final answer
    x = 1,706,056.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.