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Finding the Third Proportional to 402,144 and 883,989

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Solution

The third proportional to 402,144 and 883,989 is: 1,943,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,144 : 883,989 = 883,989 : x
  2. Step 2: Convert to fraction form
    402,144/883,989 = 883,989/x
  3. Step 3: Cross multiply
    402,144x = 883,989 × 883,989
  4. Step 4: Simplify right side
    402,144x = 781,436,552,121
  5. Step 5: Solve for x
    x = 781,436,552,121/402,144
  6. Step 6: Final answer
    x = 1,943,175.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.