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Finding the Third Proportional to 1,283,136.75 and 1,986,129.56

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Solution

The third proportional to 1,283,136.75 and 1,986,129.56 is: 3,074,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,136.75 : 1,986,129.56 = 1,986,129.56 : x
  2. Step 2: Convert to fraction form
    1,283,136.75/1,986,129.56 = 1,986,129.56/x
  3. Step 3: Cross multiply
    1,283,136.75x = 1,986,129.56 × 1,986,129.56
  4. Step 4: Simplify right side
    1,283,136.75x = 3,944,710,639,036.44
  5. Step 5: Solve for x
    x = 3,944,710,639,036.44/1,283,136.75
  6. Step 6: Final answer
    x = 3,074,271.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.