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Finding the Third Proportional to 17,818 and 38,490

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Solution

The third proportional to 17,818 and 38,490 is: 83,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,818 : 38,490 = 38,490 : x
  2. Step 2: Convert to fraction form
    17,818/38,490 = 38,490/x
  3. Step 3: Cross multiply
    17,818x = 38,490 × 38,490
  4. Step 4: Simplify right side
    17,818x = 1,481,480,100
  5. Step 5: Solve for x
    x = 1,481,480,100/17,818
  6. Step 6: Final answer
    x = 83,145.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.