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Finding the Third Proportional to 413,040 and 551,235

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Solution

The third proportional to 413,040 and 551,235 is: 735,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,040 : 551,235 = 551,235 : x
  2. Step 2: Convert to fraction form
    413,040/551,235 = 551,235/x
  3. Step 3: Cross multiply
    413,040x = 551,235 × 551,235
  4. Step 4: Simplify right side
    413,040x = 303,860,025,225
  5. Step 5: Solve for x
    x = 303,860,025,225/413,040
  6. Step 6: Final answer
    x = 735,667.31

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.