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Finding the Third Proportional to 118,992 and 257,583

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Solution

The third proportional to 118,992 and 257,583 is: 557,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,992 : 257,583 = 257,583 : x
  2. Step 2: Convert to fraction form
    118,992/257,583 = 257,583/x
  3. Step 3: Cross multiply
    118,992x = 257,583 × 257,583
  4. Step 4: Simplify right side
    118,992x = 66,349,001,889
  5. Step 5: Solve for x
    x = 66,349,001,889/118,992
  6. Step 6: Final answer
    x = 557,592.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.