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Finding the Third Proportional to 117,841 and 258,117

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Solution

The third proportional to 117,841 and 258,117 is: 565,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,841 : 258,117 = 258,117 : x
  2. Step 2: Convert to fraction form
    117,841/258,117 = 258,117/x
  3. Step 3: Cross multiply
    117,841x = 258,117 × 258,117
  4. Step 4: Simplify right side
    117,841x = 66,624,385,689
  5. Step 5: Solve for x
    x = 66,624,385,689/117,841
  6. Step 6: Final answer
    x = 565,375.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.