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Finding the Third Proportional to 67,099,459 and 146,759,103

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Solution

The third proportional to 67,099,459 and 146,759,103 is: 320,989,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,099,459 : 146,759,103 = 146,759,103 : x
  2. Step 2: Convert to fraction form
    67,099,459/146,759,103 = 146,759,103/x
  3. Step 3: Cross multiply
    67,099,459x = 146,759,103 × 146,759,103
  4. Step 4: Simplify right side
    67,099,459x = 21,538,234,313,364,608
  5. Step 5: Solve for x
    x = 21,538,234,313,364,608/67,099,459
  6. Step 6: Final answer
    x = 320,989,686.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.