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Finding the Third Proportional to 121,288 and 262,304

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Solution

The third proportional to 121,288 and 262,304 is: 567,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,288 : 262,304 = 262,304 : x
  2. Step 2: Convert to fraction form
    121,288/262,304 = 262,304/x
  3. Step 3: Cross multiply
    121,288x = 262,304 × 262,304
  4. Step 4: Simplify right side
    121,288x = 68,803,388,416
  5. Step 5: Solve for x
    x = 68,803,388,416/121,288
  6. Step 6: Final answer
    x = 567,272.84

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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.