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Finding the Third Proportional to 156,136 and 335,960

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Solution

The third proportional to 156,136 and 335,960 is: 722,889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,136 : 335,960 = 335,960 : x
  2. Step 2: Convert to fraction form
    156,136/335,960 = 335,960/x
  3. Step 3: Cross multiply
    156,136x = 335,960 × 335,960
  4. Step 4: Simplify right side
    156,136x = 112,869,121,600
  5. Step 5: Solve for x
    x = 112,869,121,600/156,136
  6. Step 6: Final answer
    x = 722,889.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.