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Finding the Third Proportional to 21,148 and 47,688

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Solution

The third proportional to 21,148 and 47,688 is: 107,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148 : 47,688 = 47,688 : x
  2. Step 2: Convert to fraction form
    21,148/47,688 = 47,688/x
  3. Step 3: Cross multiply
    21,148x = 47,688 × 47,688
  4. Step 4: Simplify right side
    21,148x = 2,274,145,344
  5. Step 5: Solve for x
    x = 2,274,145,344/21,148
  6. Step 6: Final answer
    x = 107,534.77

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.