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Finding the Third Proportional to 428,776 and 630,318

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Solution

The third proportional to 428,776 and 630,318 is: 926,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,776 : 630,318 = 630,318 : x
  2. Step 2: Convert to fraction form
    428,776/630,318 = 630,318/x
  3. Step 3: Cross multiply
    428,776x = 630,318 × 630,318
  4. Step 4: Simplify right side
    428,776x = 397,300,781,124
  5. Step 5: Solve for x
    x = 397,300,781,124/428,776
  6. Step 6: Final answer
    x = 926,592.86

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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.