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Finding the Third Proportional to 649,800 and 949,356

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Solution

The third proportional to 649,800 and 949,356 is: 1,387,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,800 : 949,356 = 949,356 : x
  2. Step 2: Convert to fraction form
    649,800/949,356 = 949,356/x
  3. Step 3: Cross multiply
    649,800x = 949,356 × 949,356
  4. Step 4: Simplify right side
    649,800x = 901,276,814,736
  5. Step 5: Solve for x
    x = 901,276,814,736/649,800
  6. Step 6: Final answer
    x = 1,387,006.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.