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Finding the Third Proportional to 490,606 and 719,754

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Solution

The third proportional to 490,606 and 719,754 is: 1,055,930.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,606 : 719,754 = 719,754 : x
  2. Step 2: Convert to fraction form
    490,606/719,754 = 719,754/x
  3. Step 3: Cross multiply
    490,606x = 719,754 × 719,754
  4. Step 4: Simplify right side
    490,606x = 518,045,820,516
  5. Step 5: Solve for x
    x = 518,045,820,516/490,606
  6. Step 6: Final answer
    x = 1,055,930.46

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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.