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Finding the Third Proportional to 140,120 and 303,985

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Solution

The third proportional to 140,120 and 303,985 is: 659,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,120 : 303,985 = 303,985 : x
  2. Step 2: Convert to fraction form
    140,120/303,985 = 303,985/x
  3. Step 3: Cross multiply
    140,120x = 303,985 × 303,985
  4. Step 4: Simplify right side
    140,120x = 92,406,880,225
  5. Step 5: Solve for x
    x = 92,406,880,225/140,120
  6. Step 6: Final answer
    x = 659,483.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.