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Finding the Third Proportional to 121,196.25 and 261,751.50

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Solution

The third proportional to 121,196.25 and 261,751.50 is: 565,313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,196.25 : 261,751.50 = 261,751.50 : x
  2. Step 2: Convert to fraction form
    121,196.25/261,751.50 = 261,751.50/x
  3. Step 3: Cross multiply
    121,196.25x = 261,751.50 × 261,751.50
  4. Step 4: Simplify right side
    121,196.25x = 68,513,847,752.25
  5. Step 5: Solve for x
    x = 68,513,847,752.25/121,196.25
  6. Step 6: Final answer
    x = 565,313.26

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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.