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Finding the Third Proportional to 30,918,434 and 67,164,420

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Solution

The third proportional to 30,918,434 and 67,164,420 is: 145,901,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,918,434 : 67,164,420 = 67,164,420 : x
  2. Step 2: Convert to fraction form
    30,918,434/67,164,420 = 67,164,420/x
  3. Step 3: Cross multiply
    30,918,434x = 67,164,420 × 67,164,420
  4. Step 4: Simplify right side
    30,918,434x = 4,511,059,313,936,400
  5. Step 5: Solve for x
    x = 4,511,059,313,936,400/30,918,434
  6. Step 6: Final answer
    x = 145,901,933.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.