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Finding the Third Proportional to 517,379 and 772,883

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Solution

The third proportional to 517,379 and 772,883 is: 1,154,565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,379 : 772,883 = 772,883 : x
  2. Step 2: Convert to fraction form
    517,379/772,883 = 772,883/x
  3. Step 3: Cross multiply
    517,379x = 772,883 × 772,883
  4. Step 4: Simplify right side
    517,379x = 597,348,131,689
  5. Step 5: Solve for x
    x = 597,348,131,689/517,379
  6. Step 6: Final answer
    x = 1,154,565.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.