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Finding the Third Proportional to 117,988 and 259,304

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Solution

The third proportional to 117,988 and 259,304 is: 569,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,988 : 259,304 = 259,304 : x
  2. Step 2: Convert to fraction form
    117,988/259,304 = 259,304/x
  3. Step 3: Cross multiply
    117,988x = 259,304 × 259,304
  4. Step 4: Simplify right side
    117,988x = 67,238,564,416
  5. Step 5: Solve for x
    x = 67,238,564,416/117,988
  6. Step 6: Final answer
    x = 569,876.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.