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Finding the Third Proportional to 428,861 and 630,817

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Solution

The third proportional to 428,861 and 630,817 is: 927,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,861 : 630,817 = 630,817 : x
  2. Step 2: Convert to fraction form
    428,861/630,817 = 630,817/x
  3. Step 3: Cross multiply
    428,861x = 630,817 × 630,817
  4. Step 4: Simplify right side
    428,861x = 397,930,087,489
  5. Step 5: Solve for x
    x = 397,930,087,489/428,861
  6. Step 6: Final answer
    x = 927,876.60

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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.