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Finding the Third Proportional to 264,642 and 515,920

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Solution

The third proportional to 264,642 and 515,920 is: 1,005,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,642 : 515,920 = 515,920 : x
  2. Step 2: Convert to fraction form
    264,642/515,920 = 515,920/x
  3. Step 3: Cross multiply
    264,642x = 515,920 × 515,920
  4. Step 4: Simplify right side
    264,642x = 266,173,446,400
  5. Step 5: Solve for x
    x = 266,173,446,400/264,642
  6. Step 6: Final answer
    x = 1,005,786.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.