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Finding the Third Proportional to 500,814 and 775,521

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Solution

The third proportional to 500,814 and 775,521 is: 1,200,910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,814 : 775,521 = 775,521 : x
  2. Step 2: Convert to fraction form
    500,814/775,521 = 775,521/x
  3. Step 3: Cross multiply
    500,814x = 775,521 × 775,521
  4. Step 4: Simplify right side
    500,814x = 601,432,821,441
  5. Step 5: Solve for x
    x = 601,432,821,441/500,814
  6. Step 6: Final answer
    x = 1,200,910.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.