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Finding the Third Proportional to 136,212 and 288,806

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Solution

The third proportional to 136,212 and 288,806 is: 612,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,212 : 288,806 = 288,806 : x
  2. Step 2: Convert to fraction form
    136,212/288,806 = 288,806/x
  3. Step 3: Cross multiply
    136,212x = 288,806 × 288,806
  4. Step 4: Simplify right side
    136,212x = 83,408,905,636
  5. Step 5: Solve for x
    x = 83,408,905,636/136,212
  6. Step 6: Final answer
    x = 612,346.24

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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.