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Finding the Third Proportional to 116,646 and 257,916

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Solution

The third proportional to 116,646 and 257,916 is: 570,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,646 : 257,916 = 257,916 : x
  2. Step 2: Convert to fraction form
    116,646/257,916 = 257,916/x
  3. Step 3: Cross multiply
    116,646x = 257,916 × 257,916
  4. Step 4: Simplify right side
    116,646x = 66,520,663,056
  5. Step 5: Solve for x
    x = 66,520,663,056/116,646
  6. Step 6: Final answer
    x = 570,278.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.