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Finding the Third Proportional to 398,995 and 610,422

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Solution

The third proportional to 398,995 and 610,422 is: 933,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,995 : 610,422 = 610,422 : x
  2. Step 2: Convert to fraction form
    398,995/610,422 = 610,422/x
  3. Step 3: Cross multiply
    398,995x = 610,422 × 610,422
  4. Step 4: Simplify right side
    398,995x = 372,615,018,084
  5. Step 5: Solve for x
    x = 372,615,018,084/398,995
  6. Step 6: Final answer
    x = 933,883.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.