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Finding the Third Proportional to 391,716 and 817,488

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Solution

The third proportional to 391,716 and 817,488 is: 1,706,048.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,716 : 817,488 = 817,488 : x
  2. Step 2: Convert to fraction form
    391,716/817,488 = 817,488/x
  3. Step 3: Cross multiply
    391,716x = 817,488 × 817,488
  4. Step 4: Simplify right side
    391,716x = 668,286,630,144
  5. Step 5: Solve for x
    x = 668,286,630,144/391,716
  6. Step 6: Final answer
    x = 1,706,048.85

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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.