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Finding the Third Proportional to 58,648 and 138,310

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Solution

The third proportional to 58,648 and 138,310 is: 326,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,648 : 138,310 = 138,310 : x
  2. Step 2: Convert to fraction form
    58,648/138,310 = 138,310/x
  3. Step 3: Cross multiply
    58,648x = 138,310 × 138,310
  4. Step 4: Simplify right side
    58,648x = 19,129,656,100
  5. Step 5: Solve for x
    x = 19,129,656,100/58,648
  6. Step 6: Final answer
    x = 326,177.47

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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.