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Finding the Third Proportional to 520,072.13 and 825,205.13

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Solution

The third proportional to 520,072.13 and 825,205.13 is: 1,309,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,072.13 : 825,205.13 = 825,205.13 : x
  2. Step 2: Convert to fraction form
    520,072.13/825,205.13 = 825,205.13/x
  3. Step 3: Cross multiply
    520,072.13x = 825,205.13 × 825,205.13
  4. Step 4: Simplify right side
    520,072.13x = 680,963,498,326.27
  5. Step 5: Solve for x
    x = 680,963,498,326.27/520,072.13
  6. Step 6: Final answer
    x = 1,309,363.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.