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Finding the Third Proportional to 428,884 and 630,846

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Solution

The third proportional to 428,884 and 630,846 is: 927,912.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,884 : 630,846 = 630,846 : x
  2. Step 2: Convert to fraction form
    428,884/630,846 = 630,846/x
  3. Step 3: Cross multiply
    428,884x = 630,846 × 630,846
  4. Step 4: Simplify right side
    428,884x = 397,966,675,716
  5. Step 5: Solve for x
    x = 397,966,675,716/428,884
  6. Step 6: Final answer
    x = 927,912.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.