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Finding the Third Proportional to 136,908 and 210,329

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Solution

The third proportional to 136,908 and 210,329 is: 323,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,908 : 210,329 = 210,329 : x
  2. Step 2: Convert to fraction form
    136,908/210,329 = 210,329/x
  3. Step 3: Cross multiply
    136,908x = 210,329 × 210,329
  4. Step 4: Simplify right side
    136,908x = 44,238,288,241
  5. Step 5: Solve for x
    x = 44,238,288,241/136,908
  6. Step 6: Final answer
    x = 323,124.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.