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Finding the Third Proportional to 115,711 and 234,641

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Solution

The third proportional to 115,711 and 234,641 is: 475,809.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,711 : 234,641 = 234,641 : x
  2. Step 2: Convert to fraction form
    115,711/234,641 = 234,641/x
  3. Step 3: Cross multiply
    115,711x = 234,641 × 234,641
  4. Step 4: Simplify right side
    115,711x = 55,056,398,881
  5. Step 5: Solve for x
    x = 55,056,398,881/115,711
  6. Step 6: Final answer
    x = 475,809.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.