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Finding the Third Proportional to 21,010 and 31,579

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Solution

The third proportional to 21,010 and 31,579 is: 47,464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,010 : 31,579 = 31,579 : x
  2. Step 2: Convert to fraction form
    21,010/31,579 = 31,579/x
  3. Step 3: Cross multiply
    21,010x = 31,579 × 31,579
  4. Step 4: Simplify right side
    21,010x = 997,233,241
  5. Step 5: Solve for x
    x = 997,233,241/21,010
  6. Step 6: Final answer
    x = 47,464.69

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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.