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Finding the Third Proportional to 121,808.50 and 268,220

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Solution

The third proportional to 121,808.50 and 268,220 is: 590,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,808.50 : 268,220 = 268,220 : x
  2. Step 2: Convert to fraction form
    121,808.50/268,220 = 268,220/x
  3. Step 3: Cross multiply
    121,808.50x = 268,220 × 268,220
  4. Step 4: Simplify right side
    121,808.50x = 71,941,968,400
  5. Step 5: Solve for x
    x = 71,941,968,400/121,808.50
  6. Step 6: Final answer
    x = 590,615.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.