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Finding the Third Proportional to 84,305.81 and 181,118.53

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Solution

The third proportional to 84,305.81 and 181,118.53 is: 389,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,305.81 : 181,118.53 = 181,118.53 : x
  2. Step 2: Convert to fraction form
    84,305.81/181,118.53 = 181,118.53/x
  3. Step 3: Cross multiply
    84,305.81x = 181,118.53 × 181,118.53
  4. Step 4: Simplify right side
    84,305.81x = 32,803,922,362.16
  5. Step 5: Solve for x
    x = 32,803,922,362.16/84,305.81
  6. Step 6: Final answer
    x = 389,106.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.