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Finding the Third Proportional to 169,427.81 and 356,328.28

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Solution

The third proportional to 169,427.81 and 356,328.28 is: 749,403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,427.81 : 356,328.28 = 356,328.28 : x
  2. Step 2: Convert to fraction form
    169,427.81/356,328.28 = 356,328.28/x
  3. Step 3: Cross multiply
    169,427.81x = 356,328.28 × 356,328.28
  4. Step 4: Simplify right side
    169,427.81x = 126,969,844,018.58
  5. Step 5: Solve for x
    x = 126,969,844,018.58/169,427.81
  6. Step 6: Final answer
    x = 749,403.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.