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Finding the Third Proportional to 58,626 and 138,257

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Solution

The third proportional to 58,626 and 138,257 is: 326,049.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,626 : 138,257 = 138,257 : x
  2. Step 2: Convert to fraction form
    58,626/138,257 = 138,257/x
  3. Step 3: Cross multiply
    58,626x = 138,257 × 138,257
  4. Step 4: Simplify right side
    58,626x = 19,114,998,049
  5. Step 5: Solve for x
    x = 19,114,998,049/58,626
  6. Step 6: Final answer
    x = 326,049.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.