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Finding the Third Proportional to 412,938 and 914,312.81

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Solution

The third proportional to 412,938 and 914,312.81 is: 2,024,439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,938 : 914,312.81 = 914,312.81 : x
  2. Step 2: Convert to fraction form
    412,938/914,312.81 = 914,312.81/x
  3. Step 3: Cross multiply
    412,938x = 914,312.81 × 914,312.81
  4. Step 4: Simplify right side
    412,938x = 835,967,919,101.66
  5. Step 5: Solve for x
    x = 835,967,919,101.66/412,938
  6. Step 6: Final answer
    x = 2,024,439.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.