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Finding the Third Proportional to 401,764 and 607,831

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Solution

The third proportional to 401,764 and 607,831 is: 919,590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,764 : 607,831 = 607,831 : x
  2. Step 2: Convert to fraction form
    401,764/607,831 = 607,831/x
  3. Step 3: Cross multiply
    401,764x = 607,831 × 607,831
  4. Step 4: Simplify right side
    401,764x = 369,458,524,561
  5. Step 5: Solve for x
    x = 369,458,524,561/401,764
  6. Step 6: Final answer
    x = 919,590.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.