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Finding the Third Proportional to 490,734 and 719,901

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Solution

The third proportional to 490,734 and 719,901 is: 1,056,086.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,734 : 719,901 = 719,901 : x
  2. Step 2: Convert to fraction form
    490,734/719,901 = 719,901/x
  3. Step 3: Cross multiply
    490,734x = 719,901 × 719,901
  4. Step 4: Simplify right side
    490,734x = 518,257,449,801
  5. Step 5: Solve for x
    x = 518,257,449,801/490,734
  6. Step 6: Final answer
    x = 1,056,086.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.