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Finding the Third Proportional to 172,707 and 407,115

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Solution

The third proportional to 172,707 and 407,115 is: 959,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,707 : 407,115 = 407,115 : x
  2. Step 2: Convert to fraction form
    172,707/407,115 = 407,115/x
  3. Step 3: Cross multiply
    172,707x = 407,115 × 407,115
  4. Step 4: Simplify right side
    172,707x = 165,742,623,225
  5. Step 5: Solve for x
    x = 165,742,623,225/172,707
  6. Step 6: Final answer
    x = 959,675.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.