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Finding the Third Proportional to 207,266 and 316,912

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Solution

The third proportional to 207,266 and 316,912 is: 484,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,266 : 316,912 = 316,912 : x
  2. Step 2: Convert to fraction form
    207,266/316,912 = 316,912/x
  3. Step 3: Cross multiply
    207,266x = 316,912 × 316,912
  4. Step 4: Simplify right side
    207,266x = 100,433,215,744
  5. Step 5: Solve for x
    x = 100,433,215,744/207,266
  6. Step 6: Final answer
    x = 484,561.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.