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Finding the Third Proportional to 245,676 and 370,245

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Solution

The third proportional to 245,676 and 370,245 is: 557,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,676 : 370,245 = 370,245 : x
  2. Step 2: Convert to fraction form
    245,676/370,245 = 370,245/x
  3. Step 3: Cross multiply
    245,676x = 370,245 × 370,245
  4. Step 4: Simplify right side
    245,676x = 137,081,360,025
  5. Step 5: Solve for x
    x = 137,081,360,025/245,676
  6. Step 6: Final answer
    x = 557,976.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.