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Finding the Third Proportional to 100,611,872 and 215,579,200

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Solution

The third proportional to 100,611,872 and 215,579,200 is: 461,917,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,611,872 : 215,579,200 = 215,579,200 : x
  2. Step 2: Convert to fraction form
    100,611,872/215,579,200 = 215,579,200/x
  3. Step 3: Cross multiply
    100,611,872x = 215,579,200 × 215,579,200
  4. Step 4: Simplify right side
    100,611,872x = 46,474,391,472,640,000
  5. Step 5: Solve for x
    x = 46,474,391,472,640,000/100,611,872
  6. Step 6: Final answer
    x = 461,917,570.45

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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.