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Finding the Third Proportional to 521,178.75 and 783,020.25

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Solution

The third proportional to 521,178.75 and 783,020.25 is: 1,176,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,178.75 : 783,020.25 = 783,020.25 : x
  2. Step 2: Convert to fraction form
    521,178.75/783,020.25 = 783,020.25/x
  3. Step 3: Cross multiply
    521,178.75x = 783,020.25 × 783,020.25
  4. Step 4: Simplify right side
    521,178.75x = 613,120,711,910.06
  5. Step 5: Solve for x
    x = 613,120,711,910.06/521,178.75
  6. Step 6: Final answer
    x = 1,176,411.57

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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.