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Finding the Third Proportional to 257,972 and 371,575

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Solution

The third proportional to 257,972 and 371,575 is: 535,205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,972 : 371,575 = 371,575 : x
  2. Step 2: Convert to fraction form
    257,972/371,575 = 371,575/x
  3. Step 3: Cross multiply
    257,972x = 371,575 × 371,575
  4. Step 4: Simplify right side
    257,972x = 138,067,980,625
  5. Step 5: Solve for x
    x = 138,067,980,625/257,972
  6. Step 6: Final answer
    x = 535,205.30

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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.