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Finding the Third Proportional to 207,364 and 320,213

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Solution

The third proportional to 207,364 and 320,213 is: 494,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364 : 320,213 = 320,213 : x
  2. Step 2: Convert to fraction form
    207,364/320,213 = 320,213/x
  3. Step 3: Cross multiply
    207,364x = 320,213 × 320,213
  4. Step 4: Simplify right side
    207,364x = 102,536,365,369
  5. Step 5: Solve for x
    x = 102,536,365,369/207,364
  6. Step 6: Final answer
    x = 494,475.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.