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Finding the Third Proportional to 40,906 and 87,639

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Solution

The third proportional to 40,906 and 87,639 is: 187,762.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,906 : 87,639 = 87,639 : x
  2. Step 2: Convert to fraction form
    40,906/87,639 = 87,639/x
  3. Step 3: Cross multiply
    40,906x = 87,639 × 87,639
  4. Step 4: Simplify right side
    40,906x = 7,680,594,321
  5. Step 5: Solve for x
    x = 7,680,594,321/40,906
  6. Step 6: Final answer
    x = 187,762.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.