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Finding the Third Proportional to 322,905 and 443,263

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Solution

The third proportional to 322,905 and 443,263 is: 608,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,905 : 443,263 = 443,263 : x
  2. Step 2: Convert to fraction form
    322,905/443,263 = 443,263/x
  3. Step 3: Cross multiply
    322,905x = 443,263 × 443,263
  4. Step 4: Simplify right side
    322,905x = 196,482,087,169
  5. Step 5: Solve for x
    x = 196,482,087,169/322,905
  6. Step 6: Final answer
    x = 608,482.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.