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Finding the Third Proportional to 257,637 and 355,998

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Solution

The third proportional to 257,637 and 355,998 is: 491,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,637 : 355,998 = 355,998 : x
  2. Step 2: Convert to fraction form
    257,637/355,998 = 355,998/x
  3. Step 3: Cross multiply
    257,637x = 355,998 × 355,998
  4. Step 4: Simplify right side
    257,637x = 126,734,576,004
  5. Step 5: Solve for x
    x = 126,734,576,004/257,637
  6. Step 6: Final answer
    x = 491,911.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.