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Finding the Third Proportional to 2,178,474.75 and 4,606,277.63

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Solution

The third proportional to 2,178,474.75 and 4,606,277.63 is: 9,739,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178,474.75 : 4,606,277.63 = 4,606,277.63 : x
  2. Step 2: Convert to fraction form
    2,178,474.75/4,606,277.63 = 4,606,277.63/x
  3. Step 3: Cross multiply
    2,178,474.75x = 4,606,277.63 × 4,606,277.63
  4. Step 4: Simplify right side
    2,178,474.75x = 21,217,793,558,575.64
  5. Step 5: Solve for x
    x = 21,217,793,558,575.64/2,178,474.75
  6. Step 6: Final answer
    x = 9,739,747.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.