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Finding the Third Proportional to 264,420 and 402,824

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Solution

The third proportional to 264,420 and 402,824 is: 613,672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,420 : 402,824 = 402,824 : x
  2. Step 2: Convert to fraction form
    264,420/402,824 = 402,824/x
  3. Step 3: Cross multiply
    264,420x = 402,824 × 402,824
  4. Step 4: Simplify right side
    264,420x = 162,267,174,976
  5. Step 5: Solve for x
    x = 162,267,174,976/264,420
  6. Step 6: Final answer
    x = 613,672.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.