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Finding the Third Proportional to 100,629,068 and 215,609,240

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Solution

The third proportional to 100,629,068 and 215,609,240 is: 461,967,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,629,068 : 215,609,240 = 215,609,240 : x
  2. Step 2: Convert to fraction form
    100,629,068/215,609,240 = 215,609,240/x
  3. Step 3: Cross multiply
    100,629,068x = 215,609,240 × 215,609,240
  4. Step 4: Simplify right side
    100,629,068x = 46,487,344,373,377,600
  5. Step 5: Solve for x
    x = 46,487,344,373,377,600/100,629,068
  6. Step 6: Final answer
    x = 461,967,354.93

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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.