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Finding the Third Proportional to 7,136,509 and 11,490,869

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Solution

The third proportional to 7,136,509 and 11,490,869 is: 18,502,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136,509 : 11,490,869 = 11,490,869 : x
  2. Step 2: Convert to fraction form
    7,136,509/11,490,869 = 11,490,869/x
  3. Step 3: Cross multiply
    7,136,509x = 11,490,869 × 11,490,869
  4. Step 4: Simplify right side
    7,136,509x = 132,040,070,375,161
  5. Step 5: Solve for x
    x = 132,040,070,375,161/7,136,509
  6. Step 6: Final answer
    x = 18,502,053.37

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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.