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Finding the Third Proportional to 245,716 and 517,670

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Solution

The third proportional to 245,716 and 517,670 is: 1,090,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,716 : 517,670 = 517,670 : x
  2. Step 2: Convert to fraction form
    245,716/517,670 = 517,670/x
  3. Step 3: Cross multiply
    245,716x = 517,670 × 517,670
  4. Step 4: Simplify right side
    245,716x = 267,982,228,900
  5. Step 5: Solve for x
    x = 267,982,228,900/245,716
  6. Step 6: Final answer
    x = 1,090,617.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.