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Finding the Third Proportional to 257,501 and 397,929

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Solution

The third proportional to 257,501 and 397,929 is: 614,939.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,501 : 397,929 = 397,929 : x
  2. Step 2: Convert to fraction form
    257,501/397,929 = 397,929/x
  3. Step 3: Cross multiply
    257,501x = 397,929 × 397,929
  4. Step 4: Simplify right side
    257,501x = 158,347,489,041
  5. Step 5: Solve for x
    x = 158,347,489,041/257,501
  6. Step 6: Final answer
    x = 614,939.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.