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Finding the Third Proportional to 138,138 and 305,316

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Solution

The third proportional to 138,138 and 305,316 is: 674,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,138 : 305,316 = 305,316 : x
  2. Step 2: Convert to fraction form
    138,138/305,316 = 305,316/x
  3. Step 3: Cross multiply
    138,138x = 305,316 × 305,316
  4. Step 4: Simplify right side
    138,138x = 93,217,859,856
  5. Step 5: Solve for x
    x = 93,217,859,856/138,138
  6. Step 6: Final answer
    x = 674,816.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.