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Finding the Third Proportional to 9,115 and 19,363

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Solution

The third proportional to 9,115 and 19,363 is: 41,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115 : 19,363 = 19,363 : x
  2. Step 2: Convert to fraction form
    9,115/19,363 = 19,363/x
  3. Step 3: Cross multiply
    9,115x = 19,363 × 19,363
  4. Step 4: Simplify right side
    9,115x = 374,925,769
  5. Step 5: Solve for x
    x = 374,925,769/9,115
  6. Step 6: Final answer
    x = 41,132.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.