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Finding the Third Proportional to 21,680 and 47,289

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Solution

The third proportional to 21,680 and 47,289 is: 103,148.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680 : 47,289 = 47,289 : x
  2. Step 2: Convert to fraction form
    21,680/47,289 = 47,289/x
  3. Step 3: Cross multiply
    21,680x = 47,289 × 47,289
  4. Step 4: Simplify right side
    21,680x = 2,236,249,521
  5. Step 5: Solve for x
    x = 2,236,249,521/21,680
  6. Step 6: Final answer
    x = 103,148.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.