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Finding the Third Proportional to 517,230 and 776,542

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Solution

The third proportional to 517,230 and 776,542 is: 1,165,859.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,230 : 776,542 = 776,542 : x
  2. Step 2: Convert to fraction form
    517,230/776,542 = 776,542/x
  3. Step 3: Cross multiply
    517,230x = 776,542 × 776,542
  4. Step 4: Simplify right side
    517,230x = 603,017,477,764
  5. Step 5: Solve for x
    x = 603,017,477,764/517,230
  6. Step 6: Final answer
    x = 1,165,859.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.