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Finding the Third Proportional to 67,146 and 146,281

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Solution

The third proportional to 67,146 and 146,281 is: 318,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,146 : 146,281 = 146,281 : x
  2. Step 2: Convert to fraction form
    67,146/146,281 = 146,281/x
  3. Step 3: Cross multiply
    67,146x = 146,281 × 146,281
  4. Step 4: Simplify right side
    67,146x = 21,398,130,961
  5. Step 5: Solve for x
    x = 21,398,130,961/67,146
  6. Step 6: Final answer
    x = 318,680.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.