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Finding the Third Proportional to 489,762 and 717,864

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Solution

The third proportional to 489,762 and 717,864 is: 1,052,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,762 : 717,864 = 717,864 : x
  2. Step 2: Convert to fraction form
    489,762/717,864 = 717,864/x
  3. Step 3: Cross multiply
    489,762x = 717,864 × 717,864
  4. Step 4: Simplify right side
    489,762x = 515,328,722,496
  5. Step 5: Solve for x
    x = 515,328,722,496/489,762
  6. Step 6: Final answer
    x = 1,052,202.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.