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Finding the Third Proportional to 514,977 and 787,785

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Solution

The third proportional to 514,977 and 787,785 is: 1,205,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,977 : 787,785 = 787,785 : x
  2. Step 2: Convert to fraction form
    514,977/787,785 = 787,785/x
  3. Step 3: Cross multiply
    514,977x = 787,785 × 787,785
  4. Step 4: Simplify right side
    514,977x = 620,605,206,225
  5. Step 5: Solve for x
    x = 620,605,206,225/514,977
  6. Step 6: Final answer
    x = 1,205,112.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.