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Finding the Third Proportional to 7,122.38 and 10,625.63

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Solution

The third proportional to 7,122.38 and 10,625.63 is: 15,852.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.38 : 10,625.63 = 10,625.63 : x
  2. Step 2: Convert to fraction form
    7,122.38/10,625.63 = 10,625.63/x
  3. Step 3: Cross multiply
    7,122.38x = 10,625.63 × 10,625.63
  4. Step 4: Simplify right side
    7,122.38x = 112,903,906.64
  5. Step 5: Solve for x
    x = 112,903,906.64/7,122.38
  6. Step 6: Final answer
    x = 15,852.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.