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Finding the Third Proportional to 187,143 and 287,655

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Solution

The third proportional to 187,143 and 287,655 is: 442,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,143 : 287,655 = 287,655 : x
  2. Step 2: Convert to fraction form
    187,143/287,655 = 287,655/x
  3. Step 3: Cross multiply
    187,143x = 287,655 × 287,655
  4. Step 4: Simplify right side
    187,143x = 82,745,399,025
  5. Step 5: Solve for x
    x = 82,745,399,025/187,143
  6. Step 6: Final answer
    x = 442,150.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.