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Finding the Third Proportional to 517,716 and 803,486

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Solution

The third proportional to 517,716 and 803,486 is: 1,246,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,716 : 803,486 = 803,486 : x
  2. Step 2: Convert to fraction form
    517,716/803,486 = 803,486/x
  3. Step 3: Cross multiply
    517,716x = 803,486 × 803,486
  4. Step 4: Simplify right side
    517,716x = 645,589,752,196
  5. Step 5: Solve for x
    x = 645,589,752,196/517,716
  6. Step 6: Final answer
    x = 1,246,995.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.