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Finding the Third Proportional to 21,578.63 and 47,080.13

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Solution

The third proportional to 21,578.63 and 47,080.13 is: 102,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.63 : 47,080.13 = 47,080.13 : x
  2. Step 2: Convert to fraction form
    21,578.63/47,080.13 = 47,080.13/x
  3. Step 3: Cross multiply
    21,578.63x = 47,080.13 × 47,080.13
  4. Step 4: Simplify right side
    21,578.63x = 2,216,538,170.02
  5. Step 5: Solve for x
    x = 2,216,538,170.02/21,578.63
  6. Step 6: Final answer
    x = 102,719.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.