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Finding the Third Proportional to 15,136 and 31,296

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Solution

The third proportional to 15,136 and 31,296 is: 64,709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,136 : 31,296 = 31,296 : x
  2. Step 2: Convert to fraction form
    15,136/31,296 = 31,296/x
  3. Step 3: Cross multiply
    15,136x = 31,296 × 31,296
  4. Step 4: Simplify right side
    15,136x = 979,439,616
  5. Step 5: Solve for x
    x = 979,439,616/15,136
  6. Step 6: Final answer
    x = 64,709.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.