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Finding the Third Proportional to 161,515 and 226,331

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Solution

The third proportional to 161,515 and 226,331 is: 317,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,515 : 226,331 = 226,331 : x
  2. Step 2: Convert to fraction form
    161,515/226,331 = 226,331/x
  3. Step 3: Cross multiply
    161,515x = 226,331 × 226,331
  4. Step 4: Simplify right side
    161,515x = 51,225,721,561
  5. Step 5: Solve for x
    x = 51,225,721,561/161,515
  6. Step 6: Final answer
    x = 317,157.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.