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Finding the Third Proportional to 69,396 and 149,316

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Solution

The third proportional to 69,396 and 149,316 is: 321,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,396 : 149,316 = 149,316 : x
  2. Step 2: Convert to fraction form
    69,396/149,316 = 149,316/x
  3. Step 3: Cross multiply
    69,396x = 149,316 × 149,316
  4. Step 4: Simplify right side
    69,396x = 22,295,267,856
  5. Step 5: Solve for x
    x = 22,295,267,856/69,396
  6. Step 6: Final answer
    x = 321,275.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.