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Finding the Third Proportional to 420,042 and 645,615

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Solution

The third proportional to 420,042 and 645,615 is: 992,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,042 : 645,615 = 645,615 : x
  2. Step 2: Convert to fraction form
    420,042/645,615 = 645,615/x
  3. Step 3: Cross multiply
    420,042x = 645,615 × 645,615
  4. Step 4: Simplify right side
    420,042x = 416,818,728,225
  5. Step 5: Solve for x
    x = 416,818,728,225/420,042
  6. Step 6: Final answer
    x = 992,326.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.