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Finding the Third Proportional to 664,478 and 996,507

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Solution

The third proportional to 664,478 and 996,507 is: 1,494,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,478 : 996,507 = 996,507 : x
  2. Step 2: Convert to fraction form
    664,478/996,507 = 996,507/x
  3. Step 3: Cross multiply
    664,478x = 996,507 × 996,507
  4. Step 4: Simplify right side
    664,478x = 993,026,201,049
  5. Step 5: Solve for x
    x = 993,026,201,049/664,478
  6. Step 6: Final answer
    x = 1,494,445.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.