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Finding the Third Proportional to 117,785 and 258,001

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Solution

The third proportional to 117,785 and 258,001 is: 565,135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,785 : 258,001 = 258,001 : x
  2. Step 2: Convert to fraction form
    117,785/258,001 = 258,001/x
  3. Step 3: Cross multiply
    117,785x = 258,001 × 258,001
  4. Step 4: Simplify right side
    117,785x = 66,564,516,001
  5. Step 5: Solve for x
    x = 66,564,516,001/117,785
  6. Step 6: Final answer
    x = 565,135.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.