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Finding the Third Proportional to 21,136 and 31,638

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Solution

The third proportional to 21,136 and 31,638 is: 47,358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136 : 31,638 = 31,638 : x
  2. Step 2: Convert to fraction form
    21,136/31,638 = 31,638/x
  3. Step 3: Cross multiply
    21,136x = 31,638 × 31,638
  4. Step 4: Simplify right side
    21,136x = 1,000,963,044
  5. Step 5: Solve for x
    x = 1,000,963,044/21,136
  6. Step 6: Final answer
    x = 47,358.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.