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Finding the Third Proportional to 217,039 and 322,410

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Solution

The third proportional to 217,039 and 322,410 is: 478,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,039 : 322,410 = 322,410 : x
  2. Step 2: Convert to fraction form
    217,039/322,410 = 322,410/x
  3. Step 3: Cross multiply
    217,039x = 322,410 × 322,410
  4. Step 4: Simplify right side
    217,039x = 103,948,208,100
  5. Step 5: Solve for x
    x = 103,948,208,100/217,039
  6. Step 6: Final answer
    x = 478,937.92

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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.