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Finding the Third Proportional to 77,982,330 and 168,968,256

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Solution

The third proportional to 77,982,330 and 168,968,256 is: 366,112,060.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,982,330 : 168,968,256 = 168,968,256 : x
  2. Step 2: Convert to fraction form
    77,982,330/168,968,256 = 168,968,256/x
  3. Step 3: Cross multiply
    77,982,330x = 168,968,256 × 168,968,256
  4. Step 4: Simplify right side
    77,982,330x = 28,550,271,535,681,536
  5. Step 5: Solve for x
    x = 28,550,271,535,681,536/77,982,330
  6. Step 6: Final answer
    x = 366,112,060.72

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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.