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Finding the Third Proportional to 85,870.13 and 189,236.25

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Solution

The third proportional to 85,870.13 and 189,236.25 is: 417,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,870.13 : 189,236.25 = 189,236.25 : x
  2. Step 2: Convert to fraction form
    85,870.13/189,236.25 = 189,236.25/x
  3. Step 3: Cross multiply
    85,870.13x = 189,236.25 × 189,236.25
  4. Step 4: Simplify right side
    85,870.13x = 35,810,358,314.06
  5. Step 5: Solve for x
    x = 35,810,358,314.06/85,870.13
  6. Step 6: Final answer
    x = 417,029.30

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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.