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Finding the Third Proportional to 649,800 and 969,312

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Solution

The third proportional to 649,800 and 969,312 is: 1,445,930.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,800 : 969,312 = 969,312 : x
  2. Step 2: Convert to fraction form
    649,800/969,312 = 969,312/x
  3. Step 3: Cross multiply
    649,800x = 969,312 × 969,312
  4. Step 4: Simplify right side
    649,800x = 939,565,753,344
  5. Step 5: Solve for x
    x = 939,565,753,344/649,800
  6. Step 6: Final answer
    x = 1,445,930.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.