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Finding the Third Proportional to 257,976 and 390,859

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Solution

The third proportional to 257,976 and 390,859 is: 592,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,976 : 390,859 = 390,859 : x
  2. Step 2: Convert to fraction form
    257,976/390,859 = 390,859/x
  3. Step 3: Cross multiply
    257,976x = 390,859 × 390,859
  4. Step 4: Simplify right side
    257,976x = 152,770,757,881
  5. Step 5: Solve for x
    x = 152,770,757,881/257,976
  6. Step 6: Final answer
    x = 592,189.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.