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Finding the Third Proportional to 21,232.13 and 51,075.56

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Solution

The third proportional to 21,232.13 and 51,075.56 is: 122,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.13 : 51,075.56 = 51,075.56 : x
  2. Step 2: Convert to fraction form
    21,232.13/51,075.56 = 51,075.56/x
  3. Step 3: Cross multiply
    21,232.13x = 51,075.56 × 51,075.56
  4. Step 4: Simplify right side
    21,232.13x = 2,608,713,084.69
  5. Step 5: Solve for x
    x = 2,608,713,084.69/21,232.13
  6. Step 6: Final answer
    x = 122,866.32

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.