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Finding the Third Proportional to 121,609.50 and 249,234

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Solution

The third proportional to 121,609.50 and 249,234 is: 510,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,609.50 : 249,234 = 249,234 : x
  2. Step 2: Convert to fraction form
    121,609.50/249,234 = 249,234/x
  3. Step 3: Cross multiply
    121,609.50x = 249,234 × 249,234
  4. Step 4: Simplify right side
    121,609.50x = 62,117,586,756
  5. Step 5: Solve for x
    x = 62,117,586,756/121,609.50
  6. Step 6: Final answer
    x = 510,795.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.