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Finding the Third Proportional to 12,203,460 and 18,462,654

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Solution

The third proportional to 12,203,460 and 18,462,654 is: 27,932,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203,460 : 18,462,654 = 18,462,654 : x
  2. Step 2: Convert to fraction form
    12,203,460/18,462,654 = 18,462,654/x
  3. Step 3: Cross multiply
    12,203,460x = 18,462,654 × 18,462,654
  4. Step 4: Simplify right side
    12,203,460x = 340,869,592,723,716
  5. Step 5: Solve for x
    x = 340,869,592,723,716/12,203,460
  6. Step 6: Final answer
    x = 27,932,208.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.