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Finding the Third Proportional to 215,357 and 320,935

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Solution

The third proportional to 215,357 and 320,935 is: 478,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,357 : 320,935 = 320,935 : x
  2. Step 2: Convert to fraction form
    215,357/320,935 = 320,935/x
  3. Step 3: Cross multiply
    215,357x = 320,935 × 320,935
  4. Step 4: Simplify right side
    215,357x = 102,999,274,225
  5. Step 5: Solve for x
    x = 102,999,274,225/215,357
  6. Step 6: Final answer
    x = 478,272.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.