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Finding the Third Proportional to 284,836.50 and 442,806.75

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Solution

The third proportional to 284,836.50 and 442,806.75 is: 688,387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,836.50 : 442,806.75 = 442,806.75 : x
  2. Step 2: Convert to fraction form
    284,836.50/442,806.75 = 442,806.75/x
  3. Step 3: Cross multiply
    284,836.50x = 442,806.75 × 442,806.75
  4. Step 4: Simplify right side
    284,836.50x = 196,077,817,845.56
  5. Step 5: Solve for x
    x = 196,077,817,845.56/284,836.50
  6. Step 6: Final answer
    x = 688,387.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.