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Finding the Third Proportional to 138,763 and 303,207.50

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Solution

The third proportional to 138,763 and 303,207.50 is: 662,530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,763 : 303,207.50 = 303,207.50 : x
  2. Step 2: Convert to fraction form
    138,763/303,207.50 = 303,207.50/x
  3. Step 3: Cross multiply
    138,763x = 303,207.50 × 303,207.50
  4. Step 4: Simplify right side
    138,763x = 91,934,788,056.25
  5. Step 5: Solve for x
    x = 91,934,788,056.25/138,763
  6. Step 6: Final answer
    x = 662,530.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.