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Finding the Third Proportional to 7,122,609 and 16,796,817

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Solution

The third proportional to 7,122,609 and 16,796,817 is: 39,610,915.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122,609 : 16,796,817 = 16,796,817 : x
  2. Step 2: Convert to fraction form
    7,122,609/16,796,817 = 16,796,817/x
  3. Step 3: Cross multiply
    7,122,609x = 16,796,817 × 16,796,817
  4. Step 4: Simplify right side
    7,122,609x = 282,133,061,331,489
  5. Step 5: Solve for x
    x = 282,133,061,331,489/7,122,609
  6. Step 6: Final answer
    x = 39,610,915.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.