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Finding the Third Proportional to 40,678 and 87,935.50

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Solution

The third proportional to 40,678 and 87,935.50 is: 190,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,678 : 87,935.50 = 87,935.50 : x
  2. Step 2: Convert to fraction form
    40,678/87,935.50 = 87,935.50/x
  3. Step 3: Cross multiply
    40,678x = 87,935.50 × 87,935.50
  4. Step 4: Simplify right side
    40,678x = 7,732,652,160.25
  5. Step 5: Solve for x
    x = 7,732,652,160.25/40,678
  6. Step 6: Final answer
    x = 190,094.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.