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Finding the Third Proportional to 255,924 and 401,432.63

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Solution

The third proportional to 255,924 and 401,432.63 is: 629,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,924 : 401,432.63 = 401,432.63 : x
  2. Step 2: Convert to fraction form
    255,924/401,432.63 = 401,432.63/x
  3. Step 3: Cross multiply
    255,924x = 401,432.63 × 401,432.63
  4. Step 4: Simplify right side
    255,924x = 161,148,152,414.39
  5. Step 5: Solve for x
    x = 161,148,152,414.39/255,924
  6. Step 6: Final answer
    x = 629,671.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.