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Finding the Third Proportional to 77,136 and 160,416

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Solution

The third proportional to 77,136 and 160,416 is: 333,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,136 : 160,416 = 160,416 : x
  2. Step 2: Convert to fraction form
    77,136/160,416 = 160,416/x
  3. Step 3: Cross multiply
    77,136x = 160,416 × 160,416
  4. Step 4: Simplify right side
    77,136x = 25,733,293,056
  5. Step 5: Solve for x
    x = 25,733,293,056/77,136
  6. Step 6: Final answer
    x = 333,609.38

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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.