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Finding the Third Proportional to 115,816 and 251,558

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Solution

The third proportional to 115,816 and 251,558 is: 546,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,816 : 251,558 = 251,558 : x
  2. Step 2: Convert to fraction form
    115,816/251,558 = 251,558/x
  3. Step 3: Cross multiply
    115,816x = 251,558 × 251,558
  4. Step 4: Simplify right side
    115,816x = 63,281,427,364
  5. Step 5: Solve for x
    x = 63,281,427,364/115,816
  6. Step 6: Final answer
    x = 546,396.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.