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Finding the Third Proportional to 207,328 and 320,158

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Solution

The third proportional to 207,328 and 320,158 is: 494,391.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,328 : 320,158 = 320,158 : x
  2. Step 2: Convert to fraction form
    207,328/320,158 = 320,158/x
  3. Step 3: Cross multiply
    207,328x = 320,158 × 320,158
  4. Step 4: Simplify right side
    207,328x = 102,501,144,964
  5. Step 5: Solve for x
    x = 102,501,144,964/207,328
  6. Step 6: Final answer
    x = 494,391.23

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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.