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Finding the Third Proportional to 265,760 and 388,408

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Solution

The third proportional to 265,760 and 388,408 is: 567,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,760 : 388,408 = 388,408 : x
  2. Step 2: Convert to fraction form
    265,760/388,408 = 388,408/x
  3. Step 3: Cross multiply
    265,760x = 388,408 × 388,408
  4. Step 4: Simplify right side
    265,760x = 150,860,774,464
  5. Step 5: Solve for x
    x = 150,860,774,464/265,760
  6. Step 6: Final answer
    x = 567,657.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.