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Finding the Third Proportional to 31,254 and 66,136

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Solution

The third proportional to 31,254 and 66,136 is: 139,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,254 : 66,136 = 66,136 : x
  2. Step 2: Convert to fraction form
    31,254/66,136 = 66,136/x
  3. Step 3: Cross multiply
    31,254x = 66,136 × 66,136
  4. Step 4: Simplify right side
    31,254x = 4,373,970,496
  5. Step 5: Solve for x
    x = 4,373,970,496/31,254
  6. Step 6: Final answer
    x = 139,949.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.