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Finding the Third Proportional to 100,607,380 and 215,557,112

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Solution

The third proportional to 100,607,380 and 215,557,112 is: 461,843,540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,607,380 : 215,557,112 = 215,557,112 : x
  2. Step 2: Convert to fraction form
    100,607,380/215,557,112 = 215,557,112/x
  3. Step 3: Cross multiply
    100,607,380x = 215,557,112 × 215,557,112
  4. Step 4: Simplify right side
    100,607,380x = 46,464,868,533,780,544
  5. Step 5: Solve for x
    x = 46,464,868,533,780,544/100,607,380
  6. Step 6: Final answer
    x = 461,843,540.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.