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Finding the Third Proportional to 255,859 and 404,848

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Solution

The third proportional to 255,859 and 404,848 is: 640,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,859 : 404,848 = 404,848 : x
  2. Step 2: Convert to fraction form
    255,859/404,848 = 404,848/x
  3. Step 3: Cross multiply
    255,859x = 404,848 × 404,848
  4. Step 4: Simplify right side
    255,859x = 163,901,903,104
  5. Step 5: Solve for x
    x = 163,901,903,104/255,859
  6. Step 6: Final answer
    x = 640,594.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.