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Finding the Third Proportional to 30,542,997 and 65,868,180

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Solution

The third proportional to 30,542,997 and 65,868,180 is: 142,049,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542,997 : 65,868,180 = 65,868,180 : x
  2. Step 2: Convert to fraction form
    30,542,997/65,868,180 = 65,868,180/x
  3. Step 3: Cross multiply
    30,542,997x = 65,868,180 × 65,868,180
  4. Step 4: Simplify right side
    30,542,997x = 4,338,617,136,512,400
  5. Step 5: Solve for x
    x = 4,338,617,136,512,400/30,542,997
  6. Step 6: Final answer
    x = 142,049,489.66

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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.