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Finding the Third Proportional to 489,726 and 717,822

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Solution

The third proportional to 489,726 and 717,822 is: 1,052,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,726 : 717,822 = 717,822 : x
  2. Step 2: Convert to fraction form
    489,726/717,822 = 717,822/x
  3. Step 3: Cross multiply
    489,726x = 717,822 × 717,822
  4. Step 4: Simplify right side
    489,726x = 515,268,423,684
  5. Step 5: Solve for x
    x = 515,268,423,684/489,726
  6. Step 6: Final answer
    x = 1,052,156.56

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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.