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Finding the Third Proportional to 428,790 and 630,338

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Solution

The third proportional to 428,790 and 630,338 is: 926,621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,790 : 630,338 = 630,338 : x
  2. Step 2: Convert to fraction form
    428,790/630,338 = 630,338/x
  3. Step 3: Cross multiply
    428,790x = 630,338 × 630,338
  4. Step 4: Simplify right side
    428,790x = 397,325,994,244
  5. Step 5: Solve for x
    x = 397,325,994,244/428,790
  6. Step 6: Final answer
    x = 926,621.41

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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.