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Finding the Third Proportional to 117,943 and 256,621

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Solution

The third proportional to 117,943 and 256,621 is: 558,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,943 : 256,621 = 256,621 : x
  2. Step 2: Convert to fraction form
    117,943/256,621 = 256,621/x
  3. Step 3: Cross multiply
    117,943x = 256,621 × 256,621
  4. Step 4: Simplify right side
    117,943x = 65,854,337,641
  5. Step 5: Solve for x
    x = 65,854,337,641/117,943
  6. Step 6: Final answer
    x = 558,357.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.