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Finding the Third Proportional to 20,810.25 and 45,513.56

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Solution

The third proportional to 20,810.25 and 45,513.56 is: 99,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810.25 : 45,513.56 = 45,513.56 : x
  2. Step 2: Convert to fraction form
    20,810.25/45,513.56 = 45,513.56/x
  3. Step 3: Cross multiply
    20,810.25x = 45,513.56 × 45,513.56
  4. Step 4: Simplify right side
    20,810.25x = 2,071,484,371.44
  5. Step 5: Solve for x
    x = 2,071,484,371.44/20,810.25
  6. Step 6: Final answer
    x = 99,541.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.