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Finding the Third Proportional to 980,133.75 and 2,123,136.56

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Solution

The third proportional to 980,133.75 and 2,123,136.56 is: 4,599,075.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,133.75 : 2,123,136.56 = 2,123,136.56 : x
  2. Step 2: Convert to fraction form
    980,133.75/2,123,136.56 = 2,123,136.56/x
  3. Step 3: Cross multiply
    980,133.75x = 2,123,136.56 × 2,123,136.56
  4. Step 4: Simplify right side
    980,133.75x = 4,507,708,863,024.32
  5. Step 5: Solve for x
    x = 4,507,708,863,024.32/980,133.75
  6. Step 6: Final answer
    x = 4,599,075.24

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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.