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Finding the Third Proportional to 68,701 and 146,402

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Solution

The third proportional to 68,701 and 146,402 is: 311,983.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,701 : 146,402 = 146,402 : x
  2. Step 2: Convert to fraction form
    68,701/146,402 = 146,402/x
  3. Step 3: Cross multiply
    68,701x = 146,402 × 146,402
  4. Step 4: Simplify right side
    68,701x = 21,433,545,604
  5. Step 5: Solve for x
    x = 21,433,545,604/68,701
  6. Step 6: Final answer
    x = 311,983.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.