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Finding the Third Proportional to 520,868 and 782,689

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Solution

The third proportional to 520,868 and 782,689 is: 1,176,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,868 : 782,689 = 782,689 : x
  2. Step 2: Convert to fraction form
    520,868/782,689 = 782,689/x
  3. Step 3: Cross multiply
    520,868x = 782,689 × 782,689
  4. Step 4: Simplify right side
    520,868x = 612,602,070,721
  5. Step 5: Solve for x
    x = 612,602,070,721/520,868
  6. Step 6: Final answer
    x = 1,176,117.69

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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.