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Finding the Third Proportional to 9,058.50 and 15,057.75

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Solution

The third proportional to 9,058.50 and 15,057.75 is: 25,030.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,058.50 : 15,057.75 = 15,057.75 : x
  2. Step 2: Convert to fraction form
    9,058.50/15,057.75 = 15,057.75/x
  3. Step 3: Cross multiply
    9,058.50x = 15,057.75 × 15,057.75
  4. Step 4: Simplify right side
    9,058.50x = 226,735,835.06
  5. Step 5: Solve for x
    x = 226,735,835.06/9,058.50
  6. Step 6: Final answer
    x = 25,030.17

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.