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Finding the Third Proportional to 490,865 and 720,138

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Solution

The third proportional to 490,865 and 720,138 is: 1,056,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,865 : 720,138 = 720,138 : x
  2. Step 2: Convert to fraction form
    490,865/720,138 = 720,138/x
  3. Step 3: Cross multiply
    490,865x = 720,138 × 720,138
  4. Step 4: Simplify right side
    490,865x = 518,598,739,044
  5. Step 5: Solve for x
    x = 518,598,739,044/490,865
  6. Step 6: Final answer
    x = 1,056,499.73

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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.