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Finding the Third Proportional to 20,028.63 and 31,417.75

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Solution

The third proportional to 20,028.63 and 31,417.75 is: 49,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,028.63 : 31,417.75 = 31,417.75 : x
  2. Step 2: Convert to fraction form
    20,028.63/31,417.75 = 31,417.75/x
  3. Step 3: Cross multiply
    20,028.63x = 31,417.75 × 31,417.75
  4. Step 4: Simplify right side
    20,028.63x = 987,075,015.06
  5. Step 5: Solve for x
    x = 987,075,015.06/20,028.63
  6. Step 6: Final answer
    x = 49,283.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.