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Finding the Third Proportional to 257,976 and 390,858

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Solution

The third proportional to 257,976 and 390,858 is: 592,186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,976 : 390,858 = 390,858 : x
  2. Step 2: Convert to fraction form
    257,976/390,858 = 390,858/x
  3. Step 3: Cross multiply
    257,976x = 390,858 × 390,858
  4. Step 4: Simplify right side
    257,976x = 152,769,976,164
  5. Step 5: Solve for x
    x = 152,769,976,164/257,976
  6. Step 6: Final answer
    x = 592,186.78

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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.