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Finding the Third Proportional to 550,208 and 784,980

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Solution

The third proportional to 550,208 and 784,980 is: 1,119,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,208 : 784,980 = 784,980 : x
  2. Step 2: Convert to fraction form
    550,208/784,980 = 784,980/x
  3. Step 3: Cross multiply
    550,208x = 784,980 × 784,980
  4. Step 4: Simplify right side
    550,208x = 616,193,600,400
  5. Step 5: Solve for x
    x = 616,193,600,400/550,208
  6. Step 6: Final answer
    x = 1,119,928.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.