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Finding the Third Proportional to 116,912 and 257,656

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Solution

The third proportional to 116,912 and 257,656 is: 567,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,912 : 257,656 = 257,656 : x
  2. Step 2: Convert to fraction form
    116,912/257,656 = 257,656/x
  3. Step 3: Cross multiply
    116,912x = 257,656 × 257,656
  4. Step 4: Simplify right side
    116,912x = 66,386,614,336
  5. Step 5: Solve for x
    x = 66,386,614,336/116,912
  6. Step 6: Final answer
    x = 567,834.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.