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Finding the Third Proportional to 365,170 and 545,307

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Solution

The third proportional to 365,170 and 545,307 is: 814,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,170 : 545,307 = 545,307 : x
  2. Step 2: Convert to fraction form
    365,170/545,307 = 545,307/x
  3. Step 3: Cross multiply
    365,170x = 545,307 × 545,307
  4. Step 4: Simplify right side
    365,170x = 297,359,724,249
  5. Step 5: Solve for x
    x = 297,359,724,249/365,170
  6. Step 6: Final answer
    x = 814,304.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.