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Finding the Third Proportional to 6,812,072 and 11,352,972

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Solution

The third proportional to 6,812,072 and 11,352,972 is: 18,920,817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812,072 : 11,352,972 = 11,352,972 : x
  2. Step 2: Convert to fraction form
    6,812,072/11,352,972 = 11,352,972/x
  3. Step 3: Cross multiply
    6,812,072x = 11,352,972 × 11,352,972
  4. Step 4: Simplify right side
    6,812,072x = 128,889,973,232,784
  5. Step 5: Solve for x
    x = 128,889,973,232,784/6,812,072
  6. Step 6: Final answer
    x = 18,920,817.81

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.