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Finding the Third Proportional to 121,222.50 and 264,472.50

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Solution

The third proportional to 121,222.50 and 264,472.50 is: 577,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,222.50 : 264,472.50 = 264,472.50 : x
  2. Step 2: Convert to fraction form
    121,222.50/264,472.50 = 264,472.50/x
  3. Step 3: Cross multiply
    121,222.50x = 264,472.50 × 264,472.50
  4. Step 4: Simplify right side
    121,222.50x = 69,945,703,256.25
  5. Step 5: Solve for x
    x = 69,945,703,256.25/121,222.50
  6. Step 6: Final answer
    x = 577,002.65

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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.