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Finding the Third Proportional to 10,802.11 and 25,023.30

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Solution

The third proportional to 10,802.11 and 25,023.30 is: 57,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.11 : 25,023.30 = 25,023.30 : x
  2. Step 2: Convert to fraction form
    10,802.11/25,023.30 = 25,023.30/x
  3. Step 3: Cross multiply
    10,802.11x = 25,023.30 × 25,023.30
  4. Step 4: Simplify right side
    10,802.11x = 626,165,777.48
  5. Step 5: Solve for x
    x = 626,165,777.48/10,802.11
  6. Step 6: Final answer
    x = 57,966.99

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.