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Finding the Third Proportional to 630,216 and 945,786

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Solution

The third proportional to 630,216 and 945,786 is: 1,419,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,216 : 945,786 = 945,786 : x
  2. Step 2: Convert to fraction form
    630,216/945,786 = 945,786/x
  3. Step 3: Cross multiply
    630,216x = 945,786 × 945,786
  4. Step 4: Simplify right side
    630,216x = 894,511,157,796
  5. Step 5: Solve for x
    x = 894,511,157,796/630,216
  6. Step 6: Final answer
    x = 1,419,372.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.