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Finding the Third Proportional to 161,433 and 343,885.50

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Solution

The third proportional to 161,433 and 343,885.50 is: 732,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,433 : 343,885.50 = 343,885.50 : x
  2. Step 2: Convert to fraction form
    161,433/343,885.50 = 343,885.50/x
  3. Step 3: Cross multiply
    161,433x = 343,885.50 × 343,885.50
  4. Step 4: Simplify right side
    161,433x = 118,257,237,110.25
  5. Step 5: Solve for x
    x = 118,257,237,110.25/161,433
  6. Step 6: Final answer
    x = 732,546.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.