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Finding the Third Proportional to 212,894 and 320,230

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Solution

The third proportional to 212,894 and 320,230 is: 481,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,894 : 320,230 = 320,230 : x
  2. Step 2: Convert to fraction form
    212,894/320,230 = 320,230/x
  3. Step 3: Cross multiply
    212,894x = 320,230 × 320,230
  4. Step 4: Simplify right side
    212,894x = 102,547,252,900
  5. Step 5: Solve for x
    x = 102,547,252,900/212,894
  6. Step 6: Final answer
    x = 481,682.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.