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Finding the Third Proportional to 40,678.50 and 85,731

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Solution

The third proportional to 40,678.50 and 85,731 is: 180,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,678.50 : 85,731 = 85,731 : x
  2. Step 2: Convert to fraction form
    40,678.50/85,731 = 85,731/x
  3. Step 3: Cross multiply
    40,678.50x = 85,731 × 85,731
  4. Step 4: Simplify right side
    40,678.50x = 7,349,804,361
  5. Step 5: Solve for x
    x = 7,349,804,361/40,678.50
  6. Step 6: Final answer
    x = 180,680.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.