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Finding the Third Proportional to 222,730 and 302,605

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Solution

The third proportional to 222,730 and 302,605 is: 411,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,730 : 302,605 = 302,605 : x
  2. Step 2: Convert to fraction form
    222,730/302,605 = 302,605/x
  3. Step 3: Cross multiply
    222,730x = 302,605 × 302,605
  4. Step 4: Simplify right side
    222,730x = 91,569,786,025
  5. Step 5: Solve for x
    x = 91,569,786,025/222,730
  6. Step 6: Final answer
    x = 411,124.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.