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Finding the Third Proportional to 490,747.50 and 719,921.25

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Solution

The third proportional to 490,747.50 and 719,921.25 is: 1,056,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,747.50 : 719,921.25 = 719,921.25 : x
  2. Step 2: Convert to fraction form
    490,747.50/719,921.25 = 719,921.25/x
  3. Step 3: Cross multiply
    490,747.50x = 719,921.25 × 719,921.25
  4. Step 4: Simplify right side
    490,747.50x = 518,286,606,201.56
  5. Step 5: Solve for x
    x = 518,286,606,201.56/490,747.50
  6. Step 6: Final answer
    x = 1,056,116.65

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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.