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Finding the Third Proportional to 69,286 and 148,049

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Solution

The third proportional to 69,286 and 148,049 is: 316,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,286 : 148,049 = 148,049 : x
  2. Step 2: Convert to fraction form
    69,286/148,049 = 148,049/x
  3. Step 3: Cross multiply
    69,286x = 148,049 × 148,049
  4. Step 4: Simplify right side
    69,286x = 21,918,506,401
  5. Step 5: Solve for x
    x = 21,918,506,401/69,286
  6. Step 6: Final answer
    x = 316,348.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.