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Finding the Third Proportional to 298,459,323 and 642,268,278

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Solution

The third proportional to 298,459,323 and 642,268,278 is: 1,382,126,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,459,323 : 642,268,278 = 642,268,278 : x
  2. Step 2: Convert to fraction form
    298,459,323/642,268,278 = 642,268,278/x
  3. Step 3: Cross multiply
    298,459,323x = 642,268,278 × 642,268,278
  4. Step 4: Simplify right side
    298,459,323x = 412,508,540,925,085,312
  5. Step 5: Solve for x
    x = 412,508,540,925,085,312/298,459,323
  6. Step 6: Final answer
    x = 1,382,126,504.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.