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Finding the Third Proportional to 264,525 and 378,121

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Solution

The third proportional to 264,525 and 378,121 is: 540,498.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,525 : 378,121 = 378,121 : x
  2. Step 2: Convert to fraction form
    264,525/378,121 = 378,121/x
  3. Step 3: Cross multiply
    264,525x = 378,121 × 378,121
  4. Step 4: Simplify right side
    264,525x = 142,975,490,641
  5. Step 5: Solve for x
    x = 142,975,490,641/264,525
  6. Step 6: Final answer
    x = 540,498.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.