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Finding the Third Proportional to 257,963 and 371,563

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Solution

The third proportional to 257,963 and 371,563 is: 535,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,963 : 371,563 = 371,563 : x
  2. Step 2: Convert to fraction form
    257,963/371,563 = 371,563/x
  3. Step 3: Cross multiply
    257,963x = 371,563 × 371,563
  4. Step 4: Simplify right side
    257,963x = 138,059,062,969
  5. Step 5: Solve for x
    x = 138,059,062,969/257,963
  6. Step 6: Final answer
    x = 535,189.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.