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Finding the Third Proportional to 21,374 and 45,136

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Solution

The third proportional to 21,374 and 45,136 is: 95,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,374 : 45,136 = 45,136 : x
  2. Step 2: Convert to fraction form
    21,374/45,136 = 45,136/x
  3. Step 3: Cross multiply
    21,374x = 45,136 × 45,136
  4. Step 4: Simplify right side
    21,374x = 2,037,258,496
  5. Step 5: Solve for x
    x = 2,037,258,496/21,374
  6. Step 6: Final answer
    x = 95,314.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.