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Finding the Third Proportional to 157,834 and 380,369

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Solution

The third proportional to 157,834 and 380,369 is: 916,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,834 : 380,369 = 380,369 : x
  2. Step 2: Convert to fraction form
    157,834/380,369 = 380,369/x
  3. Step 3: Cross multiply
    157,834x = 380,369 × 380,369
  4. Step 4: Simplify right side
    157,834x = 144,680,576,161
  5. Step 5: Solve for x
    x = 144,680,576,161/157,834
  6. Step 6: Final answer
    x = 916,662.93

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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.