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Finding the Third Proportional to 138,521 and 303,316

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Solution

The third proportional to 138,521 and 303,316 is: 664,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,521 : 303,316 = 303,316 : x
  2. Step 2: Convert to fraction form
    138,521/303,316 = 303,316/x
  3. Step 3: Cross multiply
    138,521x = 303,316 × 303,316
  4. Step 4: Simplify right side
    138,521x = 92,000,595,856
  5. Step 5: Solve for x
    x = 92,000,595,856/138,521
  6. Step 6: Final answer
    x = 664,163.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.