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Finding the Third Proportional to 136,908 and 210,348

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Solution

The third proportional to 136,908 and 210,348 is: 323,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,908 : 210,348 = 210,348 : x
  2. Step 2: Convert to fraction form
    136,908/210,348 = 210,348/x
  3. Step 3: Cross multiply
    136,908x = 210,348 × 210,348
  4. Step 4: Simplify right side
    136,908x = 44,246,281,104
  5. Step 5: Solve for x
    x = 44,246,281,104/136,908
  6. Step 6: Final answer
    x = 323,182.58

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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.