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Finding the Third Proportional to 517,820 and 699,608

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Solution

The third proportional to 517,820 and 699,608 is: 945,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,820 : 699,608 = 699,608 : x
  2. Step 2: Convert to fraction form
    517,820/699,608 = 699,608/x
  3. Step 3: Cross multiply
    517,820x = 699,608 × 699,608
  4. Step 4: Simplify right side
    517,820x = 489,451,353,664
  5. Step 5: Solve for x
    x = 489,451,353,664/517,820
  6. Step 6: Final answer
    x = 945,215.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.