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Finding the Third Proportional to 135,289 and 292,244

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Solution

The third proportional to 135,289 and 292,244 is: 631,289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,289 : 292,244 = 292,244 : x
  2. Step 2: Convert to fraction form
    135,289/292,244 = 292,244/x
  3. Step 3: Cross multiply
    135,289x = 292,244 × 292,244
  4. Step 4: Simplify right side
    135,289x = 85,406,555,536
  5. Step 5: Solve for x
    x = 85,406,555,536/135,289
  6. Step 6: Final answer
    x = 631,289.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.