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Finding the Third Proportional to 412,875 and 638,100

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Solution

The third proportional to 412,875 and 638,100 is: 986,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,875 : 638,100 = 638,100 : x
  2. Step 2: Convert to fraction form
    412,875/638,100 = 638,100/x
  3. Step 3: Cross multiply
    412,875x = 638,100 × 638,100
  4. Step 4: Simplify right side
    412,875x = 407,171,610,000
  5. Step 5: Solve for x
    x = 407,171,610,000/412,875
  6. Step 6: Final answer
    x = 986,186.16

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