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Finding the Third Proportional to 77,031,936 and 166,197,456

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Solution

The third proportional to 77,031,936 and 166,197,456 is: 358,573,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,031,936 : 166,197,456 = 166,197,456 : x
  2. Step 2: Convert to fraction form
    77,031,936/166,197,456 = 166,197,456/x
  3. Step 3: Cross multiply
    77,031,936x = 166,197,456 × 166,197,456
  4. Step 4: Simplify right side
    77,031,936x = 27,621,594,380,871,936
  5. Step 5: Solve for x
    x = 27,621,594,380,871,936/77,031,936
  6. Step 6: Final answer
    x = 358,573,285.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.