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Finding the Third Proportional to 136,890 and 210,276

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Solution

The third proportional to 136,890 and 210,276 is: 323,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,890 : 210,276 = 210,276 : x
  2. Step 2: Convert to fraction form
    136,890/210,276 = 210,276/x
  3. Step 3: Cross multiply
    136,890x = 210,276 × 210,276
  4. Step 4: Simplify right side
    136,890x = 44,215,996,176
  5. Step 5: Solve for x
    x = 44,215,996,176/136,890
  6. Step 6: Final answer
    x = 323,003.84

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