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Finding the Third Proportional to 428,796 and 630,348

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Solution

The third proportional to 428,796 and 630,348 is: 926,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,796 : 630,348 = 630,348 : x
  2. Step 2: Convert to fraction form
    428,796/630,348 = 630,348/x
  3. Step 3: Cross multiply
    428,796x = 630,348 × 630,348
  4. Step 4: Simplify right side
    428,796x = 397,338,601,104
  5. Step 5: Solve for x
    x = 397,338,601,104/428,796
  6. Step 6: Final answer
    x = 926,637.84

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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.