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Finding the Third Proportional to 4,258.50 and 9,109

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Solution

The third proportional to 4,258.50 and 9,109 is: 19,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.50 : 9,109 = 9,109 : x
  2. Step 2: Convert to fraction form
    4,258.50/9,109 = 9,109/x
  3. Step 3: Cross multiply
    4,258.50x = 9,109 × 9,109
  4. Step 4: Simplify right side
    4,258.50x = 82,973,881
  5. Step 5: Solve for x
    x = 82,973,881/4,258.50
  6. Step 6: Final answer
    x = 19,484.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.