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Finding the Third Proportional to 408,064 and 780,110

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Solution

The third proportional to 408,064 and 780,110 is: 1,491,363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,064 : 780,110 = 780,110 : x
  2. Step 2: Convert to fraction form
    408,064/780,110 = 780,110/x
  3. Step 3: Cross multiply
    408,064x = 780,110 × 780,110
  4. Step 4: Simplify right side
    408,064x = 608,571,612,100
  5. Step 5: Solve for x
    x = 608,571,612,100/408,064
  6. Step 6: Final answer
    x = 1,491,363.15

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.