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Finding the Third Proportional to 517,377 and 772,879

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Solution

The third proportional to 517,377 and 772,879 is: 1,154,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,377 : 772,879 = 772,879 : x
  2. Step 2: Convert to fraction form
    517,377/772,879 = 772,879/x
  3. Step 3: Cross multiply
    517,377x = 772,879 × 772,879
  4. Step 4: Simplify right side
    517,377x = 597,341,948,641
  5. Step 5: Solve for x
    x = 597,341,948,641/517,377
  6. Step 6: Final answer
    x = 1,154,558.38

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