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Finding the Third Proportional to 172,811 and 359,421

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Solution

The third proportional to 172,811 and 359,421 is: 747,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,811 : 359,421 = 359,421 : x
  2. Step 2: Convert to fraction form
    172,811/359,421 = 359,421/x
  3. Step 3: Cross multiply
    172,811x = 359,421 × 359,421
  4. Step 4: Simplify right side
    172,811x = 129,183,455,241
  5. Step 5: Solve for x
    x = 129,183,455,241/172,811
  6. Step 6: Final answer
    x = 747,541.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.