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Finding the Third Proportional to 118,340 and 257,416

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Solution

The third proportional to 118,340 and 257,416 is: 559,937.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,340 : 257,416 = 257,416 : x
  2. Step 2: Convert to fraction form
    118,340/257,416 = 257,416/x
  3. Step 3: Cross multiply
    118,340x = 257,416 × 257,416
  4. Step 4: Simplify right side
    118,340x = 66,262,997,056
  5. Step 5: Solve for x
    x = 66,262,997,056/118,340
  6. Step 6: Final answer
    x = 559,937.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.