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Finding the Third Proportional to 401,996 and 625,131

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Solution

The third proportional to 401,996 and 625,131 is: 972,121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,996 : 625,131 = 625,131 : x
  2. Step 2: Convert to fraction form
    401,996/625,131 = 625,131/x
  3. Step 3: Cross multiply
    401,996x = 625,131 × 625,131
  4. Step 4: Simplify right side
    401,996x = 390,788,767,161
  5. Step 5: Solve for x
    x = 390,788,767,161/401,996
  6. Step 6: Final answer
    x = 972,121.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.