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Finding the Third Proportional to 21,416 and 47,424

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Solution

The third proportional to 21,416 and 47,424 is: 105,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416 : 47,424 = 47,424 : x
  2. Step 2: Convert to fraction form
    21,416/47,424 = 47,424/x
  3. Step 3: Cross multiply
    21,416x = 47,424 × 47,424
  4. Step 4: Simplify right side
    21,416x = 2,249,035,776
  5. Step 5: Solve for x
    x = 2,249,035,776/21,416
  6. Step 6: Final answer
    x = 105,016.61

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.