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Finding the Third Proportional to 21,830 and 47,658

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Solution

The third proportional to 21,830 and 47,658 is: 104,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830 : 47,658 = 47,658 : x
  2. Step 2: Convert to fraction form
    21,830/47,658 = 47,658/x
  3. Step 3: Cross multiply
    21,830x = 47,658 × 47,658
  4. Step 4: Simplify right side
    21,830x = 2,271,284,964
  5. Step 5: Solve for x
    x = 2,271,284,964/21,830
  6. Step 6: Final answer
    x = 104,044.20

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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.