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Finding the Third Proportional to 459,942 and 618,081

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Solution

The third proportional to 459,942 and 618,081 is: 830,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,942 : 618,081 = 618,081 : x
  2. Step 2: Convert to fraction form
    459,942/618,081 = 618,081/x
  3. Step 3: Cross multiply
    459,942x = 618,081 × 618,081
  4. Step 4: Simplify right side
    459,942x = 382,024,122,561
  5. Step 5: Solve for x
    x = 382,024,122,561/459,942
  6. Step 6: Final answer
    x = 830,591.95

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.