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Finding the Third Proportional to 490,834 and 720,090

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Solution

The third proportional to 490,834 and 720,090 is: 1,056,425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,834 : 720,090 = 720,090 : x
  2. Step 2: Convert to fraction form
    490,834/720,090 = 720,090/x
  3. Step 3: Cross multiply
    490,834x = 720,090 × 720,090
  4. Step 4: Simplify right side
    490,834x = 518,529,608,100
  5. Step 5: Solve for x
    x = 518,529,608,100/490,834
  6. Step 6: Final answer
    x = 1,056,425.61

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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.