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Finding the Third Proportional to 21,566 and 31,511

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Solution

The third proportional to 21,566 and 31,511 is: 46,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,566 : 31,511 = 31,511 : x
  2. Step 2: Convert to fraction form
    21,566/31,511 = 31,511/x
  3. Step 3: Cross multiply
    21,566x = 31,511 × 31,511
  4. Step 4: Simplify right side
    21,566x = 992,943,121
  5. Step 5: Solve for x
    x = 992,943,121/21,566
  6. Step 6: Final answer
    x = 46,042.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.