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Finding the Third Proportional to 10,269 and 14,925.38

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Solution

The third proportional to 10,269 and 14,925.38 is: 21,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269 : 14,925.38 = 14,925.38 : x
  2. Step 2: Convert to fraction form
    10,269/14,925.38 = 14,925.38/x
  3. Step 3: Cross multiply
    10,269x = 14,925.38 × 14,925.38
  4. Step 4: Simplify right side
    10,269x = 222,766,818.89
  5. Step 5: Solve for x
    x = 222,766,818.89/10,269
  6. Step 6: Final answer
    x = 21,693.14

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.