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Finding the Third Proportional to 303,638 and 453,784

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Solution

The third proportional to 303,638 and 453,784 is: 678,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,638 : 453,784 = 453,784 : x
  2. Step 2: Convert to fraction form
    303,638/453,784 = 453,784/x
  3. Step 3: Cross multiply
    303,638x = 453,784 × 453,784
  4. Step 4: Simplify right side
    303,638x = 205,919,918,656
  5. Step 5: Solve for x
    x = 205,919,918,656/303,638
  6. Step 6: Final answer
    x = 678,175.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.