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Finding the Third Proportional to 157,707 and 380,052

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Solution

The third proportional to 157,707 and 380,052 is: 915,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,707 : 380,052 = 380,052 : x
  2. Step 2: Convert to fraction form
    157,707/380,052 = 380,052/x
  3. Step 3: Cross multiply
    157,707x = 380,052 × 380,052
  4. Step 4: Simplify right side
    157,707x = 144,439,522,704
  5. Step 5: Solve for x
    x = 144,439,522,704/157,707
  6. Step 6: Final answer
    x = 915,872.62

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.