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Finding the Third Proportional to 40,113 and 87,205

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Solution

The third proportional to 40,113 and 87,205 is: 189,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,113 : 87,205 = 87,205 : x
  2. Step 2: Convert to fraction form
    40,113/87,205 = 87,205/x
  3. Step 3: Cross multiply
    40,113x = 87,205 × 87,205
  4. Step 4: Simplify right side
    40,113x = 7,604,712,025
  5. Step 5: Solve for x
    x = 7,604,712,025/40,113
  6. Step 6: Final answer
    x = 189,582.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.