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Finding the Third Proportional to 15,812 and 21,440

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Solution

The third proportional to 15,812 and 21,440 is: 29,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812 : 21,440 = 21,440 : x
  2. Step 2: Convert to fraction form
    15,812/21,440 = 21,440/x
  3. Step 3: Cross multiply
    15,812x = 21,440 × 21,440
  4. Step 4: Simplify right side
    15,812x = 459,673,600
  5. Step 5: Solve for x
    x = 459,673,600/15,812
  6. Step 6: Final answer
    x = 29,071.19

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1.5x scale

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.