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Finding the Third Proportional to 78,100,608 and 162,665,546

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Solution

The third proportional to 78,100,608 and 162,665,546 is: 338,794,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,100,608 : 162,665,546 = 162,665,546 : x
  2. Step 2: Convert to fraction form
    78,100,608/162,665,546 = 162,665,546/x
  3. Step 3: Cross multiply
    78,100,608x = 162,665,546 × 162,665,546
  4. Step 4: Simplify right side
    78,100,608x = 26,460,079,855,478,116
  5. Step 5: Solve for x
    x = 26,460,079,855,478,116/78,100,608
  6. Step 6: Final answer
    x = 338,794,799.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.