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Finding the Third Proportional to 209,609 and 452,427.50

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Solution

The third proportional to 209,609 and 452,427.50 is: 976,535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,609 : 452,427.50 = 452,427.50 : x
  2. Step 2: Convert to fraction form
    209,609/452,427.50 = 452,427.50/x
  3. Step 3: Cross multiply
    209,609x = 452,427.50 × 452,427.50
  4. Step 4: Simplify right side
    209,609x = 204,690,642,756.25
  5. Step 5: Solve for x
    x = 204,690,642,756.25/209,609
  6. Step 6: Final answer
    x = 976,535.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.