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Finding the Third Proportional to 163,055 and 356,989

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Solution

The third proportional to 163,055 and 356,989 is: 781,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,055 : 356,989 = 356,989 : x
  2. Step 2: Convert to fraction form
    163,055/356,989 = 356,989/x
  3. Step 3: Cross multiply
    163,055x = 356,989 × 356,989
  4. Step 4: Simplify right side
    163,055x = 127,441,146,121
  5. Step 5: Solve for x
    x = 127,441,146,121/163,055
  6. Step 6: Final answer
    x = 781,583.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.