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Finding the Third Proportional to 121,216 and 259,280

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Solution

The third proportional to 121,216 and 259,280 is: 554,597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,216 : 259,280 = 259,280 : x
  2. Step 2: Convert to fraction form
    121,216/259,280 = 259,280/x
  3. Step 3: Cross multiply
    121,216x = 259,280 × 259,280
  4. Step 4: Simplify right side
    121,216x = 67,226,118,400
  5. Step 5: Solve for x
    x = 67,226,118,400/121,216
  6. Step 6: Final answer
    x = 554,597.73

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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.