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Finding the Third Proportional to 428,800 and 630,354

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Solution

The third proportional to 428,800 and 630,354 is: 926,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,800 : 630,354 = 630,354 : x
  2. Step 2: Convert to fraction form
    428,800/630,354 = 630,354/x
  3. Step 3: Cross multiply
    428,800x = 630,354 × 630,354
  4. Step 4: Simplify right side
    428,800x = 397,346,165,316
  5. Step 5: Solve for x
    x = 397,346,165,316/428,800
  6. Step 6: Final answer
    x = 926,646.84

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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.