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Finding the Third Proportional to 15,894 and 20,910

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Solution

The third proportional to 15,894 and 20,910 is: 27,509.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894 : 20,910 = 20,910 : x
  2. Step 2: Convert to fraction form
    15,894/20,910 = 20,910/x
  3. Step 3: Cross multiply
    15,894x = 20,910 × 20,910
  4. Step 4: Simplify right side
    15,894x = 437,228,100
  5. Step 5: Solve for x
    x = 437,228,100/15,894
  6. Step 6: Final answer
    x = 27,509.00

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.