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Finding the Third Proportional to 121,200 and 259,248

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Solution

The third proportional to 121,200 and 259,248 is: 554,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,200 : 259,248 = 259,248 : x
  2. Step 2: Convert to fraction form
    121,200/259,248 = 259,248/x
  3. Step 3: Cross multiply
    121,200x = 259,248 × 259,248
  4. Step 4: Simplify right side
    121,200x = 67,209,525,504
  5. Step 5: Solve for x
    x = 67,209,525,504/121,200
  6. Step 6: Final answer
    x = 554,534.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.