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Finding the Third Proportional to 136,248 and 203,532

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Solution

The third proportional to 136,248 and 203,532 is: 304,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,248 : 203,532 = 203,532 : x
  2. Step 2: Convert to fraction form
    136,248/203,532 = 203,532/x
  3. Step 3: Cross multiply
    136,248x = 203,532 × 203,532
  4. Step 4: Simplify right side
    136,248x = 41,425,275,024
  5. Step 5: Solve for x
    x = 41,425,275,024/136,248
  6. Step 6: Final answer
    x = 304,043.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.