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Finding the Third Proportional to 215,356 and 320,930

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Solution

The third proportional to 215,356 and 320,930 is: 478,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,356 : 320,930 = 320,930 : x
  2. Step 2: Convert to fraction form
    215,356/320,930 = 320,930/x
  3. Step 3: Cross multiply
    215,356x = 320,930 × 320,930
  4. Step 4: Simplify right side
    215,356x = 102,996,064,900
  5. Step 5: Solve for x
    x = 102,996,064,900/215,356
  6. Step 6: Final answer
    x = 478,259.56

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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.