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Finding the Third Proportional to 284,565 and 380,634

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Solution

The third proportional to 284,565 and 380,634 is: 509,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,565 : 380,634 = 380,634 : x
  2. Step 2: Convert to fraction form
    284,565/380,634 = 380,634/x
  3. Step 3: Cross multiply
    284,565x = 380,634 × 380,634
  4. Step 4: Simplify right side
    284,565x = 144,882,241,956
  5. Step 5: Solve for x
    x = 144,882,241,956/284,565
  6. Step 6: Final answer
    x = 509,135.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.