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Finding the Third Proportional to 428,786 and 630,333

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Solution

The third proportional to 428,786 and 630,333 is: 926,615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,786 : 630,333 = 630,333 : x
  2. Step 2: Convert to fraction form
    428,786/630,333 = 630,333/x
  3. Step 3: Cross multiply
    428,786x = 630,333 × 630,333
  4. Step 4: Simplify right side
    428,786x = 397,319,690,889
  5. Step 5: Solve for x
    x = 397,319,690,889/428,786
  6. Step 6: Final answer
    x = 926,615.35

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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.