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Finding the Third Proportional to 255,339 and 404,130

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Solution

The third proportional to 255,339 and 404,130 is: 639,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,339 : 404,130 = 404,130 : x
  2. Step 2: Convert to fraction form
    255,339/404,130 = 404,130/x
  3. Step 3: Cross multiply
    255,339x = 404,130 × 404,130
  4. Step 4: Simplify right side
    255,339x = 163,321,056,900
  5. Step 5: Solve for x
    x = 163,321,056,900/255,339
  6. Step 6: Final answer
    x = 639,624.41

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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.