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Finding the Third Proportional to 648,081 and 965,439

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Solution

The third proportional to 648,081 and 965,439 is: 1,438,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,081 : 965,439 = 965,439 : x
  2. Step 2: Convert to fraction form
    648,081/965,439 = 965,439/x
  3. Step 3: Cross multiply
    648,081x = 965,439 × 965,439
  4. Step 4: Simplify right side
    648,081x = 932,072,462,721
  5. Step 5: Solve for x
    x = 932,072,462,721/648,081
  6. Step 6: Final answer
    x = 1,438,203.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.