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Finding the Third Proportional to 136,209 and 288,800

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Solution

The third proportional to 136,209 and 288,800 is: 612,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,209 : 288,800 = 288,800 : x
  2. Step 2: Convert to fraction form
    136,209/288,800 = 288,800/x
  3. Step 3: Cross multiply
    136,209x = 288,800 × 288,800
  4. Step 4: Simplify right side
    136,209x = 83,405,440,000
  5. Step 5: Solve for x
    x = 83,405,440,000/136,209
  6. Step 6: Final answer
    x = 612,334.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.