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Finding the Third Proportional to 115,222 and 239,641

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Solution

The third proportional to 115,222 and 239,641 is: 498,410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,222 : 239,641 = 239,641 : x
  2. Step 2: Convert to fraction form
    115,222/239,641 = 239,641/x
  3. Step 3: Cross multiply
    115,222x = 239,641 × 239,641
  4. Step 4: Simplify right side
    115,222x = 57,427,808,881
  5. Step 5: Solve for x
    x = 57,427,808,881/115,222
  6. Step 6: Final answer
    x = 498,410.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.