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Finding the Third Proportional to 154,756 and 245,958

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Solution

The third proportional to 154,756 and 245,958 is: 390,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,756 : 245,958 = 245,958 : x
  2. Step 2: Convert to fraction form
    154,756/245,958 = 245,958/x
  3. Step 3: Cross multiply
    154,756x = 245,958 × 245,958
  4. Step 4: Simplify right side
    154,756x = 60,495,337,764
  5. Step 5: Solve for x
    x = 60,495,337,764/154,756
  6. Step 6: Final answer
    x = 390,907.87

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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.