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Finding the Third Proportional to 264,478 and 402,914

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Solution

The third proportional to 264,478 and 402,914 is: 613,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,478 : 402,914 = 402,914 : x
  2. Step 2: Convert to fraction form
    264,478/402,914 = 402,914/x
  3. Step 3: Cross multiply
    264,478x = 402,914 × 402,914
  4. Step 4: Simplify right side
    264,478x = 162,339,691,396
  5. Step 5: Solve for x
    x = 162,339,691,396/264,478
  6. Step 6: Final answer
    x = 613,811.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.