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Finding the Third Proportional to 215,355.38 and 320,932.13

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Solution

The third proportional to 215,355.38 and 320,932.13 is: 478,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,355.38 : 320,932.13 = 320,932.13 : x
  2. Step 2: Convert to fraction form
    215,355.38/320,932.13 = 320,932.13/x
  3. Step 3: Cross multiply
    215,355.38x = 320,932.13 × 320,932.13
  4. Step 4: Simplify right side
    215,355.38x = 102,997,428,857.02
  5. Step 5: Solve for x
    x = 102,997,428,857.02/215,355.38
  6. Step 6: Final answer
    x = 478,267.28

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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.