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Finding the Third Proportional to 3,928,821.28 and 5,869,036.22

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Solution

The third proportional to 3,928,821.28 and 5,869,036.22 is: 8,767,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928,821.28 : 5,869,036.22 = 5,869,036.22 : x
  2. Step 2: Convert to fraction form
    3,928,821.28/5,869,036.22 = 5,869,036.22/x
  3. Step 3: Cross multiply
    3,928,821.28x = 5,869,036.22 × 5,869,036.22
  4. Step 4: Simplify right side
    3,928,821.28x = 34,445,586,136,999.30
  5. Step 5: Solve for x
    x = 34,445,586,136,999.30/3,928,821.28
  6. Step 6: Final answer
    x = 8,767,409.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.