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Finding the Third Proportional to 546,844.50 and 820,255.50

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Solution

The third proportional to 546,844.50 and 820,255.50 is: 1,230,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,844.50 : 820,255.50 = 820,255.50 : x
  2. Step 2: Convert to fraction form
    546,844.50/820,255.50 = 820,255.50/x
  3. Step 3: Cross multiply
    546,844.50x = 820,255.50 × 820,255.50
  4. Step 4: Simplify right side
    546,844.50x = 672,819,085,280.25
  5. Step 5: Solve for x
    x = 672,819,085,280.25/546,844.50
  6. Step 6: Final answer
    x = 1,230,366.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.