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Finding the Third Proportional to 77,911 and 170,564

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Solution

The third proportional to 77,911 and 170,564 is: 373,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,911 : 170,564 = 170,564 : x
  2. Step 2: Convert to fraction form
    77,911/170,564 = 170,564/x
  3. Step 3: Cross multiply
    77,911x = 170,564 × 170,564
  4. Step 4: Simplify right side
    77,911x = 29,092,078,096
  5. Step 5: Solve for x
    x = 29,092,078,096/77,911
  6. Step 6: Final answer
    x = 373,401.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.