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Finding the Third Proportional to 514,690 and 780,782

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Solution

The third proportional to 514,690 and 780,782 is: 1,184,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,690 : 780,782 = 780,782 : x
  2. Step 2: Convert to fraction form
    514,690/780,782 = 780,782/x
  3. Step 3: Cross multiply
    514,690x = 780,782 × 780,782
  4. Step 4: Simplify right side
    514,690x = 609,620,531,524
  5. Step 5: Solve for x
    x = 609,620,531,524/514,690
  6. Step 6: Final answer
    x = 1,184,442.15

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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.