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Finding the Third Proportional to 118,969 and 257,538

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Solution

The third proportional to 118,969 and 257,538 is: 557,505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,969 : 257,538 = 257,538 : x
  2. Step 2: Convert to fraction form
    118,969/257,538 = 257,538/x
  3. Step 3: Cross multiply
    118,969x = 257,538 × 257,538
  4. Step 4: Simplify right side
    118,969x = 66,325,821,444
  5. Step 5: Solve for x
    x = 66,325,821,444/118,969
  6. Step 6: Final answer
    x = 557,505.08

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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.