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Finding the Third Proportional to 401,072 and 601,685.75

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Solution

The third proportional to 401,072 and 601,685.75 is: 902,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,072 : 601,685.75 = 601,685.75 : x
  2. Step 2: Convert to fraction form
    401,072/601,685.75 = 601,685.75/x
  3. Step 3: Cross multiply
    401,072x = 601,685.75 × 601,685.75
  4. Step 4: Simplify right side
    401,072x = 362,025,741,753.06
  5. Step 5: Solve for x
    x = 362,025,741,753.06/401,072
  6. Step 6: Final answer
    x = 902,645.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.