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Finding the Third Proportional to 77,976,960 and 168,970,944

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Solution

The third proportional to 77,976,960 and 168,970,944 is: 366,148,922.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,976,960 : 168,970,944 = 168,970,944 : x
  2. Step 2: Convert to fraction form
    77,976,960/168,970,944 = 168,970,944/x
  3. Step 3: Cross multiply
    77,976,960x = 168,970,944 × 168,970,944
  4. Step 4: Simplify right side
    77,976,960x = 28,551,179,916,251,136
  5. Step 5: Solve for x
    x = 28,551,179,916,251,136/77,976,960
  6. Step 6: Final answer
    x = 366,148,922.92

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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.