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Finding the Third Proportional to 257,982 and 390,867

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Solution

The third proportional to 257,982 and 390,867 is: 592,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,982 : 390,867 = 390,867 : x
  2. Step 2: Convert to fraction form
    257,982/390,867 = 390,867/x
  3. Step 3: Cross multiply
    257,982x = 390,867 × 390,867
  4. Step 4: Simplify right side
    257,982x = 152,777,011,689
  5. Step 5: Solve for x
    x = 152,777,011,689/257,982
  6. Step 6: Final answer
    x = 592,200.28

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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.