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Finding the Third Proportional to 291,208 and 438,864

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Solution

The third proportional to 291,208 and 438,864 is: 661,388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,208 : 438,864 = 438,864 : x
  2. Step 2: Convert to fraction form
    291,208/438,864 = 438,864/x
  3. Step 3: Cross multiply
    291,208x = 438,864 × 438,864
  4. Step 4: Simplify right side
    291,208x = 192,601,610,496
  5. Step 5: Solve for x
    x = 192,601,610,496/291,208
  6. Step 6: Final answer
    x = 661,388.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.