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Finding the Third Proportional to 20,815.31 and 45,140.63

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Solution

The third proportional to 20,815.31 and 45,140.63 is: 97,893.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,815.31 : 45,140.63 = 45,140.63 : x
  2. Step 2: Convert to fraction form
    20,815.31/45,140.63 = 45,140.63/x
  3. Step 3: Cross multiply
    20,815.31x = 45,140.63 × 45,140.63
  4. Step 4: Simplify right side
    20,815.31x = 2,037,676,025.39
  5. Step 5: Solve for x
    x = 2,037,676,025.39/20,815.31
  6. Step 6: Final answer
    x = 97,893.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.