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Finding the Third Proportional to 135,890 and 289,276

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Solution

The third proportional to 135,890 and 289,276 is: 615,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,890 : 289,276 = 289,276 : x
  2. Step 2: Convert to fraction form
    135,890/289,276 = 289,276/x
  3. Step 3: Cross multiply
    135,890x = 289,276 × 289,276
  4. Step 4: Simplify right side
    135,890x = 83,680,604,176
  5. Step 5: Solve for x
    x = 83,680,604,176/135,890
  6. Step 6: Final answer
    x = 615,796.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.