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Finding the Third Proportional to 15,715 and 21,355

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Solution

The third proportional to 15,715 and 21,355 is: 29,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,715 : 21,355 = 21,355 : x
  2. Step 2: Convert to fraction form
    15,715/21,355 = 21,355/x
  3. Step 3: Cross multiply
    15,715x = 21,355 × 21,355
  4. Step 4: Simplify right side
    15,715x = 456,036,025
  5. Step 5: Solve for x
    x = 456,036,025/15,715
  6. Step 6: Final answer
    x = 29,019.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.