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Finding the Third Proportional to 21,115 and 45,470

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Solution

The third proportional to 21,115 and 45,470 is: 97,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,115 : 45,470 = 45,470 : x
  2. Step 2: Convert to fraction form
    21,115/45,470 = 45,470/x
  3. Step 3: Cross multiply
    21,115x = 45,470 × 45,470
  4. Step 4: Simplify right side
    21,115x = 2,067,520,900
  5. Step 5: Solve for x
    x = 2,067,520,900/21,115
  6. Step 6: Final answer
    x = 97,917.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.