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Finding the Third Proportional to 548,952.19 and 820,512.28

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Solution

The third proportional to 548,952.19 and 820,512.28 is: 1,226,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,952.19 : 820,512.28 = 820,512.28 : x
  2. Step 2: Convert to fraction form
    548,952.19/820,512.28 = 820,512.28/x
  3. Step 3: Cross multiply
    548,952.19x = 820,512.28 × 820,512.28
  4. Step 4: Simplify right side
    548,952.19x = 673,240,403,682.08
  5. Step 5: Solve for x
    x = 673,240,403,682.08/548,952.19
  6. Step 6: Final answer
    x = 1,226,409.91

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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.