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Finding the Third Proportional to 452,947.50 and 987,278.50

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Solution

The third proportional to 452,947.50 and 987,278.50 is: 2,151,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,947.50 : 987,278.50 = 987,278.50 : x
  2. Step 2: Convert to fraction form
    452,947.50/987,278.50 = 987,278.50/x
  3. Step 3: Cross multiply
    452,947.50x = 987,278.50 × 987,278.50
  4. Step 4: Simplify right side
    452,947.50x = 974,718,836,562.25
  5. Step 5: Solve for x
    x = 974,718,836,562.25/452,947.50
  6. Step 6: Final answer
    x = 2,151,946.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.