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Finding the Third Proportional to 117,802 and 251,480

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Solution

The third proportional to 117,802 and 251,480 is: 536,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,802 : 251,480 = 251,480 : x
  2. Step 2: Convert to fraction form
    117,802/251,480 = 251,480/x
  3. Step 3: Cross multiply
    117,802x = 251,480 × 251,480
  4. Step 4: Simplify right side
    117,802x = 63,242,190,400
  5. Step 5: Solve for x
    x = 63,242,190,400/117,802
  6. Step 6: Final answer
    x = 536,851.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.