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Finding the Third Proportional to 78,693,128 and 161,305,360

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Solution

The third proportional to 78,693,128 and 161,305,360 is: 330,644,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,693,128 : 161,305,360 = 161,305,360 : x
  2. Step 2: Convert to fraction form
    78,693,128/161,305,360 = 161,305,360/x
  3. Step 3: Cross multiply
    78,693,128x = 161,305,360 × 161,305,360
  4. Step 4: Simplify right side
    78,693,128x = 26,019,419,164,729,600
  5. Step 5: Solve for x
    x = 26,019,419,164,729,600/78,693,128
  6. Step 6: Final answer
    x = 330,644,108.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.