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Finding the Third Proportional to 10,720.50 and 25,053

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Solution

The third proportional to 10,720.50 and 25,053 is: 58,546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.50 : 25,053 = 25,053 : x
  2. Step 2: Convert to fraction form
    10,720.50/25,053 = 25,053/x
  3. Step 3: Cross multiply
    10,720.50x = 25,053 × 25,053
  4. Step 4: Simplify right side
    10,720.50x = 627,652,809
  5. Step 5: Solve for x
    x = 627,652,809/10,720.50
  6. Step 6: Final answer
    x = 58,546.97

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.