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Finding the Third Proportional to 218,511 and 452,191.50

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Solution

The third proportional to 218,511 and 452,191.50 is: 935,775.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,511 : 452,191.50 = 452,191.50 : x
  2. Step 2: Convert to fraction form
    218,511/452,191.50 = 452,191.50/x
  3. Step 3: Cross multiply
    218,511x = 452,191.50 × 452,191.50
  4. Step 4: Simplify right side
    218,511x = 204,477,152,672.25
  5. Step 5: Solve for x
    x = 204,477,152,672.25/218,511
  6. Step 6: Final answer
    x = 935,775.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.