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Finding the Third Proportional to 103,812 and 147,940

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Solution

The third proportional to 103,812 and 147,940 is: 210,825.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,812 : 147,940 = 147,940 : x
  2. Step 2: Convert to fraction form
    103,812/147,940 = 147,940/x
  3. Step 3: Cross multiply
    103,812x = 147,940 × 147,940
  4. Step 4: Simplify right side
    103,812x = 21,886,243,600
  5. Step 5: Solve for x
    x = 21,886,243,600/103,812
  6. Step 6: Final answer
    x = 210,825.76

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.