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Finding the Third Proportional to 214,612 and 320,784

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Solution

The third proportional to 214,612 and 320,784 is: 479,480.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,612 : 320,784 = 320,784 : x
  2. Step 2: Convert to fraction form
    214,612/320,784 = 320,784/x
  3. Step 3: Cross multiply
    214,612x = 320,784 × 320,784
  4. Step 4: Simplify right side
    214,612x = 102,902,374,656
  5. Step 5: Solve for x
    x = 102,902,374,656/214,612
  6. Step 6: Final answer
    x = 479,480.99

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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.