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Finding the Third Proportional to 25,640 and 40,136

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Solution

The third proportional to 25,640 and 40,136 is: 62,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,640 : 40,136 = 40,136 : x
  2. Step 2: Convert to fraction form
    25,640/40,136 = 40,136/x
  3. Step 3: Cross multiply
    25,640x = 40,136 × 40,136
  4. Step 4: Simplify right side
    25,640x = 1,610,898,496
  5. Step 5: Solve for x
    x = 1,610,898,496/25,640
  6. Step 6: Final answer
    x = 62,827.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.