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Finding the Third Proportional to 19,643 and 36,413

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Solution

The third proportional to 19,643 and 36,413 is: 67,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643 : 36,413 = 36,413 : x
  2. Step 2: Convert to fraction form
    19,643/36,413 = 36,413/x
  3. Step 3: Cross multiply
    19,643x = 36,413 × 36,413
  4. Step 4: Simplify right side
    19,643x = 1,325,906,569
  5. Step 5: Solve for x
    x = 1,325,906,569/19,643
  6. Step 6: Final answer
    x = 67,500.21

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.