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Finding the Third Proportional to 401,458.78 and 622,357.17

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Solution

The third proportional to 401,458.78 and 622,357.17 is: 964,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,458.78 : 622,357.17 = 622,357.17 : x
  2. Step 2: Convert to fraction form
    401,458.78/622,357.17 = 622,357.17/x
  3. Step 3: Cross multiply
    401,458.78x = 622,357.17 × 622,357.17
  4. Step 4: Simplify right side
    401,458.78x = 387,328,449,384.25
  5. Step 5: Solve for x
    x = 387,328,449,384.25/401,458.78
  6. Step 6: Final answer
    x = 964,802.53

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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.