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Finding the Third Proportional to 136,217 and 212,604

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Solution

The third proportional to 136,217 and 212,604 is: 331,826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,217 : 212,604 = 212,604 : x
  2. Step 2: Convert to fraction form
    136,217/212,604 = 212,604/x
  3. Step 3: Cross multiply
    136,217x = 212,604 × 212,604
  4. Step 4: Simplify right side
    136,217x = 45,200,460,816
  5. Step 5: Solve for x
    x = 45,200,460,816/136,217
  6. Step 6: Final answer
    x = 331,826.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.