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Finding the Third Proportional to 472,601 and 717,639

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Solution

The third proportional to 472,601 and 717,639 is: 1,089,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,601 : 717,639 = 717,639 : x
  2. Step 2: Convert to fraction form
    472,601/717,639 = 717,639/x
  3. Step 3: Cross multiply
    472,601x = 717,639 × 717,639
  4. Step 4: Simplify right side
    472,601x = 515,005,734,321
  5. Step 5: Solve for x
    x = 515,005,734,321/472,601
  6. Step 6: Final answer
    x = 1,089,726.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.