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Finding the Third Proportional to 284,600 and 427,656

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Solution

The third proportional to 284,600 and 427,656 is: 642,620.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,600 : 427,656 = 427,656 : x
  2. Step 2: Convert to fraction form
    284,600/427,656 = 427,656/x
  3. Step 3: Cross multiply
    284,600x = 427,656 × 427,656
  4. Step 4: Simplify right side
    284,600x = 182,889,654,336
  5. Step 5: Solve for x
    x = 182,889,654,336/284,600
  6. Step 6: Final answer
    x = 642,620.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.