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Finding the Third Proportional to 78,122,072 and 165,101,476

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Solution

The third proportional to 78,122,072 and 165,101,476 is: 348,921,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,122,072 : 165,101,476 = 165,101,476 : x
  2. Step 2: Convert to fraction form
    78,122,072/165,101,476 = 165,101,476/x
  3. Step 3: Cross multiply
    78,122,072x = 165,101,476 × 165,101,476
  4. Step 4: Simplify right side
    78,122,072x = 27,258,497,377,378,576
  5. Step 5: Solve for x
    x = 27,258,497,377,378,576/78,122,072
  6. Step 6: Final answer
    x = 348,921,843.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.