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Finding the Third Proportional to 69,388 and 147,412

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Solution

The third proportional to 69,388 and 147,412 is: 313,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,388 : 147,412 = 147,412 : x
  2. Step 2: Convert to fraction form
    69,388/147,412 = 147,412/x
  3. Step 3: Cross multiply
    69,388x = 147,412 × 147,412
  4. Step 4: Simplify right side
    69,388x = 21,730,297,744
  5. Step 5: Solve for x
    x = 21,730,297,744/69,388
  6. Step 6: Final answer
    x = 313,170.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.