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Finding the Third Proportional to 250,020 and 397,170

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Solution

The third proportional to 250,020 and 397,170 is: 630,925.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,020 : 397,170 = 397,170 : x
  2. Step 2: Convert to fraction form
    250,020/397,170 = 397,170/x
  3. Step 3: Cross multiply
    250,020x = 397,170 × 397,170
  4. Step 4: Simplify right side
    250,020x = 157,744,008,900
  5. Step 5: Solve for x
    x = 157,744,008,900/250,020
  6. Step 6: Final answer
    x = 630,925.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.