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Finding the Third Proportional to 257,957 and 534,140

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Solution

The third proportional to 257,957 and 534,140 is: 1,106,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,957 : 534,140 = 534,140 : x
  2. Step 2: Convert to fraction form
    257,957/534,140 = 534,140/x
  3. Step 3: Cross multiply
    257,957x = 534,140 × 534,140
  4. Step 4: Simplify right side
    257,957x = 285,305,539,600
  5. Step 5: Solve for x
    x = 285,305,539,600/257,957
  6. Step 6: Final answer
    x = 1,106,019.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.