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Finding the Third Proportional to 412,869.66 and 638,091.42

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Solution

The third proportional to 412,869.66 and 638,091.42 is: 986,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,869.66 : 638,091.42 = 638,091.42 : x
  2. Step 2: Convert to fraction form
    412,869.66/638,091.42 = 638,091.42/x
  3. Step 3: Cross multiply
    412,869.66x = 638,091.42 × 638,091.42
  4. Step 4: Simplify right side
    412,869.66x = 407,160,662,670.46
  5. Step 5: Solve for x
    x = 407,160,662,670.46/412,869.66
  6. Step 6: Final answer
    x = 986,172.41

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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.