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Finding the Third Proportional to 490,984 and 720,924

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Solution

The third proportional to 490,984 and 720,924 is: 1,058,550.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,984 : 720,924 = 720,924 : x
  2. Step 2: Convert to fraction form
    490,984/720,924 = 720,924/x
  3. Step 3: Cross multiply
    490,984x = 720,924 × 720,924
  4. Step 4: Simplify right side
    490,984x = 519,731,413,776
  5. Step 5: Solve for x
    x = 519,731,413,776/490,984
  6. Step 6: Final answer
    x = 1,058,550.61

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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.