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Finding the Third Proportional to 7,686,144 and 16,816,896

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Solution

The third proportional to 7,686,144 and 16,816,896 is: 36,794,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686,144 : 16,816,896 = 16,816,896 : x
  2. Step 2: Convert to fraction form
    7,686,144/16,816,896 = 16,816,896/x
  3. Step 3: Cross multiply
    7,686,144x = 16,816,896 × 16,816,896
  4. Step 4: Simplify right side
    7,686,144x = 282,807,991,074,816
  5. Step 5: Solve for x
    x = 282,807,991,074,816/7,686,144
  6. Step 6: Final answer
    x = 36,794,521.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.