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Finding the Third Proportional to 69,416 and 149,354

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Solution

The third proportional to 69,416 and 149,354 is: 321,346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,416 : 149,354 = 149,354 : x
  2. Step 2: Convert to fraction form
    69,416/149,354 = 149,354/x
  3. Step 3: Cross multiply
    69,416x = 149,354 × 149,354
  4. Step 4: Simplify right side
    69,416x = 22,306,617,316
  5. Step 5: Solve for x
    x = 22,306,617,316/69,416
  6. Step 6: Final answer
    x = 321,346.91

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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.