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Finding the Third Proportional to 477,731.36 and 669,644.88

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Solution

The third proportional to 477,731.36 and 669,644.88 is: 938,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,731.36 : 669,644.88 = 669,644.88 : x
  2. Step 2: Convert to fraction form
    477,731.36/669,644.88 = 669,644.88/x
  3. Step 3: Cross multiply
    477,731.36x = 669,644.88 × 669,644.88
  4. Step 4: Simplify right side
    477,731.36x = 448,424,261,229.56
  5. Step 5: Solve for x
    x = 448,424,261,229.56/477,731.36
  6. Step 6: Final answer
    x = 938,653.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.