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Finding the Third Proportional to 255,408 and 404,232

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Solution

The third proportional to 255,408 and 404,232 is: 639,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,408 : 404,232 = 404,232 : x
  2. Step 2: Convert to fraction form
    255,408/404,232 = 404,232/x
  3. Step 3: Cross multiply
    255,408x = 404,232 × 404,232
  4. Step 4: Simplify right side
    255,408x = 163,403,509,824
  5. Step 5: Solve for x
    x = 163,403,509,824/255,408
  6. Step 6: Final answer
    x = 639,774.44

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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.