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Finding the Third Proportional to 207,270 and 320,065

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Solution

The third proportional to 207,270 and 320,065 is: 494,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,270 : 320,065 = 320,065 : x
  2. Step 2: Convert to fraction form
    207,270/320,065 = 320,065/x
  3. Step 3: Cross multiply
    207,270x = 320,065 × 320,065
  4. Step 4: Simplify right side
    207,270x = 102,441,604,225
  5. Step 5: Solve for x
    x = 102,441,604,225/207,270
  6. Step 6: Final answer
    x = 494,242.31

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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.