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Finding the Third Proportional to 284,787 and 400,533.75

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Solution

The third proportional to 284,787 and 400,533.75 is: 563,323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,787 : 400,533.75 = 400,533.75 : x
  2. Step 2: Convert to fraction form
    284,787/400,533.75 = 400,533.75/x
  3. Step 3: Cross multiply
    284,787x = 400,533.75 × 400,533.75
  4. Step 4: Simplify right side
    284,787x = 160,427,284,889.06
  5. Step 5: Solve for x
    x = 160,427,284,889.06/284,787
  6. Step 6: Final answer
    x = 563,323.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.