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Finding the Third Proportional to 7,136,406 and 11,490,714

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Solution

The third proportional to 7,136,406 and 11,490,714 is: 18,501,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136,406 : 11,490,714 = 11,490,714 : x
  2. Step 2: Convert to fraction form
    7,136,406/11,490,714 = 11,490,714/x
  3. Step 3: Cross multiply
    7,136,406x = 11,490,714 × 11,490,714
  4. Step 4: Simplify right side
    7,136,406x = 132,036,508,229,796
  5. Step 5: Solve for x
    x = 132,036,508,229,796/7,136,406
  6. Step 6: Final answer
    x = 18,501,821.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.