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Finding the Third Proportional to 140,940 and 296,642.25

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Solution

The third proportional to 140,940 and 296,642.25 is: 624,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,940 : 296,642.25 = 296,642.25 : x
  2. Step 2: Convert to fraction form
    140,940/296,642.25 = 296,642.25/x
  3. Step 3: Cross multiply
    140,940x = 296,642.25 × 296,642.25
  4. Step 4: Simplify right side
    140,940x = 87,996,624,485.06
  5. Step 5: Solve for x
    x = 87,996,624,485.06/140,940
  6. Step 6: Final answer
    x = 624,355.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.