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Finding the Third Proportional to 21,136 and 31,637

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Solution

The third proportional to 21,136 and 31,637 is: 47,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136 : 31,637 = 31,637 : x
  2. Step 2: Convert to fraction form
    21,136/31,637 = 31,637/x
  3. Step 3: Cross multiply
    21,136x = 31,637 × 31,637
  4. Step 4: Simplify right side
    21,136x = 1,000,899,769
  5. Step 5: Solve for x
    x = 1,000,899,769/21,136
  6. Step 6: Final answer
    x = 47,355.21

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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.