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Finding the Third Proportional to 77,976,896 and 168,970,816

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Solution

The third proportional to 77,976,896 and 168,970,816 is: 366,148,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,976,896 : 168,970,816 = 168,970,816 : x
  2. Step 2: Convert to fraction form
    77,976,896/168,970,816 = 168,970,816/x
  3. Step 3: Cross multiply
    77,976,896x = 168,970,816 × 168,970,816
  4. Step 4: Simplify right side
    77,976,896x = 28,551,136,659,705,856
  5. Step 5: Solve for x
    x = 28,551,136,659,705,856/77,976,896
  6. Step 6: Final answer
    x = 366,148,668.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.