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Finding the Third Proportional to 43,058 and 94,603

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Solution

The third proportional to 43,058 and 94,603 is: 207,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,058 : 94,603 = 94,603 : x
  2. Step 2: Convert to fraction form
    43,058/94,603 = 94,603/x
  3. Step 3: Cross multiply
    43,058x = 94,603 × 94,603
  4. Step 4: Simplify right side
    43,058x = 8,949,727,609
  5. Step 5: Solve for x
    x = 8,949,727,609/43,058
  6. Step 6: Final answer
    x = 207,852.84

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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.