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Finding the Third Proportional to 307,000.13 and 663,936.75

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Solution

The third proportional to 307,000.13 and 663,936.75 is: 1,435,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,000.13 : 663,936.75 = 663,936.75 : x
  2. Step 2: Convert to fraction form
    307,000.13/663,936.75 = 663,936.75/x
  3. Step 3: Cross multiply
    307,000.13x = 663,936.75 × 663,936.75
  4. Step 4: Simplify right side
    307,000.13x = 440,812,008,000.56
  5. Step 5: Solve for x
    x = 440,812,008,000.56/307,000.13
  6. Step 6: Final answer
    x = 1,435,869.15

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Why These Related Problems?

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