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Finding the Third Proportional to 140,773 and 303,551

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Solution

The third proportional to 140,773 and 303,551 is: 654,551.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,773 : 303,551 = 303,551 : x
  2. Step 2: Convert to fraction form
    140,773/303,551 = 303,551/x
  3. Step 3: Cross multiply
    140,773x = 303,551 × 303,551
  4. Step 4: Simplify right side
    140,773x = 92,143,209,601
  5. Step 5: Solve for x
    x = 92,143,209,601/140,773
  6. Step 6: Final answer
    x = 654,551.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.