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Finding the Third Proportional to 85,862.53 and 189,562.78

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Solution

The third proportional to 85,862.53 and 189,562.78 is: 418,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,862.53 : 189,562.78 = 189,562.78 : x
  2. Step 2: Convert to fraction form
    85,862.53/189,562.78 = 189,562.78/x
  3. Step 3: Cross multiply
    85,862.53x = 189,562.78 × 189,562.78
  4. Step 4: Simplify right side
    85,862.53x = 35,934,048,035.24
  5. Step 5: Solve for x
    x = 35,934,048,035.24/85,862.53
  6. Step 6: Final answer
    x = 418,506.74

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.