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Finding the Third Proportional to 272,116 and 408,454

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Solution

The third proportional to 272,116 and 408,454 is: 613,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,116 : 408,454 = 408,454 : x
  2. Step 2: Convert to fraction form
    272,116/408,454 = 408,454/x
  3. Step 3: Cross multiply
    272,116x = 408,454 × 408,454
  4. Step 4: Simplify right side
    272,116x = 166,834,670,116
  5. Step 5: Solve for x
    x = 166,834,670,116/272,116
  6. Step 6: Final answer
    x = 613,101.29

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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.