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Finding the Third Proportional to 15,911 and 36,070

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Solution

The third proportional to 15,911 and 36,070 is: 81,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,911 : 36,070 = 36,070 : x
  2. Step 2: Convert to fraction form
    15,911/36,070 = 36,070/x
  3. Step 3: Cross multiply
    15,911x = 36,070 × 36,070
  4. Step 4: Simplify right side
    15,911x = 1,301,044,900
  5. Step 5: Solve for x
    x = 1,301,044,900/15,911
  6. Step 6: Final answer
    x = 81,770.15

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.