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Finding the Third Proportional to 31,623 and 47,421

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Solution

The third proportional to 31,623 and 47,421 is: 71,111.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,623 : 47,421 = 47,421 : x
  2. Step 2: Convert to fraction form
    31,623/47,421 = 47,421/x
  3. Step 3: Cross multiply
    31,623x = 47,421 × 47,421
  4. Step 4: Simplify right side
    31,623x = 2,248,751,241
  5. Step 5: Solve for x
    x = 2,248,751,241/31,623
  6. Step 6: Final answer
    x = 71,111.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.