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Finding the Third Proportional to 517,892 and 787,646

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Solution

The third proportional to 517,892 and 787,646 is: 1,197,906.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,892 : 787,646 = 787,646 : x
  2. Step 2: Convert to fraction form
    517,892/787,646 = 787,646/x
  3. Step 3: Cross multiply
    517,892x = 787,646 × 787,646
  4. Step 4: Simplify right side
    517,892x = 620,386,221,316
  5. Step 5: Solve for x
    x = 620,386,221,316/517,892
  6. Step 6: Final answer
    x = 1,197,906.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.