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Finding the Third Proportional to 193,874,045 and 414,988,282

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Solution

The third proportional to 193,874,045 and 414,988,282 is: 888,284,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,874,045 : 414,988,282 = 414,988,282 : x
  2. Step 2: Convert to fraction form
    193,874,045/414,988,282 = 414,988,282/x
  3. Step 3: Cross multiply
    193,874,045x = 414,988,282 × 414,988,282
  4. Step 4: Simplify right side
    193,874,045x = 172,215,274,197,311,520
  5. Step 5: Solve for x
    x = 172,215,274,197,311,520/193,874,045
  6. Step 6: Final answer
    x = 888,284,319.84

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