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Finding the Third Proportional to 452,380.50 and 974,263.50

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Solution

The third proportional to 452,380.50 and 974,263.50 is: 2,098,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,380.50 : 974,263.50 = 974,263.50 : x
  2. Step 2: Convert to fraction form
    452,380.50/974,263.50 = 974,263.50/x
  3. Step 3: Cross multiply
    452,380.50x = 974,263.50 × 974,263.50
  4. Step 4: Simplify right side
    452,380.50x = 949,189,367,432.25
  5. Step 5: Solve for x
    x = 949,189,367,432.25/452,380.50
  6. Step 6: Final answer
    x = 2,098,210.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.