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Finding the Third Proportional to 121,320 and 263,254.50

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Solution

The third proportional to 121,320 and 263,254.50 is: 571,240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,320 : 263,254.50 = 263,254.50 : x
  2. Step 2: Convert to fraction form
    121,320/263,254.50 = 263,254.50/x
  3. Step 3: Cross multiply
    121,320x = 263,254.50 × 263,254.50
  4. Step 4: Simplify right side
    121,320x = 69,302,931,770.25
  5. Step 5: Solve for x
    x = 69,302,931,770.25/121,320
  6. Step 6: Final answer
    x = 571,240.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.