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Finding the Third Proportional to 189,545.81 and 284,407.88

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Solution

The third proportional to 189,545.81 and 284,407.88 is: 426,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,545.81 : 284,407.88 = 284,407.88 : x
  2. Step 2: Convert to fraction form
    189,545.81/284,407.88 = 284,407.88/x
  3. Step 3: Cross multiply
    189,545.81x = 284,407.88 × 284,407.88
  4. Step 4: Simplify right side
    189,545.81x = 80,887,839,362.02
  5. Step 5: Solve for x
    x = 80,887,839,362.02/189,545.81
  6. Step 6: Final answer
    x = 426,745.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.