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Finding the Third Proportional to 456,621 and 727,218

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Solution

The third proportional to 456,621 and 727,218 is: 1,158,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,621 : 727,218 = 727,218 : x
  2. Step 2: Convert to fraction form
    456,621/727,218 = 727,218/x
  3. Step 3: Cross multiply
    456,621x = 727,218 × 727,218
  4. Step 4: Simplify right side
    456,621x = 528,846,019,524
  5. Step 5: Solve for x
    x = 528,846,019,524/456,621
  6. Step 6: Final answer
    x = 1,158,172.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.