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Finding the Third Proportional to 118,328 and 257,388

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Solution

The third proportional to 118,328 and 257,388 is: 559,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,328 : 257,388 = 257,388 : x
  2. Step 2: Convert to fraction form
    118,328/257,388 = 257,388/x
  3. Step 3: Cross multiply
    118,328x = 257,388 × 257,388
  4. Step 4: Simplify right side
    118,328x = 66,248,582,544
  5. Step 5: Solve for x
    x = 66,248,582,544/118,328
  6. Step 6: Final answer
    x = 559,872.41

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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.