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Finding the Third Proportional to 21,432 and 45,696

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Solution

The third proportional to 21,432 and 45,696 is: 97,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,432 : 45,696 = 45,696 : x
  2. Step 2: Convert to fraction form
    21,432/45,696 = 45,696/x
  3. Step 3: Cross multiply
    21,432x = 45,696 × 45,696
  4. Step 4: Simplify right side
    21,432x = 2,088,124,416
  5. Step 5: Solve for x
    x = 2,088,124,416/21,432
  6. Step 6: Final answer
    x = 97,430.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.