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Finding the Third Proportional to 428,716 and 630,684

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Solution

The third proportional to 428,716 and 630,684 is: 927,799.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,716 : 630,684 = 630,684 : x
  2. Step 2: Convert to fraction form
    428,716/630,684 = 630,684/x
  3. Step 3: Cross multiply
    428,716x = 630,684 × 630,684
  4. Step 4: Simplify right side
    428,716x = 397,762,307,856
  5. Step 5: Solve for x
    x = 397,762,307,856/428,716
  6. Step 6: Final answer
    x = 927,799.07

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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.