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Finding the Third Proportional to 118,678 and 257,516

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Solution

The third proportional to 118,678 and 257,516 is: 558,776.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,678 : 257,516 = 257,516 : x
  2. Step 2: Convert to fraction form
    118,678/257,516 = 257,516/x
  3. Step 3: Cross multiply
    118,678x = 257,516 × 257,516
  4. Step 4: Simplify right side
    118,678x = 66,314,490,256
  5. Step 5: Solve for x
    x = 66,314,490,256/118,678
  6. Step 6: Final answer
    x = 558,776.61

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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.