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Finding the Third Proportional to 490,596 and 719,742

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Solution

The third proportional to 490,596 and 719,742 is: 1,055,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,596 : 719,742 = 719,742 : x
  2. Step 2: Convert to fraction form
    490,596/719,742 = 719,742/x
  3. Step 3: Cross multiply
    490,596x = 719,742 × 719,742
  4. Step 4: Simplify right side
    490,596x = 518,028,546,564
  5. Step 5: Solve for x
    x = 518,028,546,564/490,596
  6. Step 6: Final answer
    x = 1,055,916.78

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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.