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Finding the Third Proportional to 310,666 and 666,644

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Solution

The third proportional to 310,666 and 666,644 is: 1,430,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,666 : 666,644 = 666,644 : x
  2. Step 2: Convert to fraction form
    310,666/666,644 = 666,644/x
  3. Step 3: Cross multiply
    310,666x = 666,644 × 666,644
  4. Step 4: Simplify right side
    310,666x = 444,414,222,736
  5. Step 5: Solve for x
    x = 444,414,222,736/310,666
  6. Step 6: Final answer
    x = 1,430,520.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.