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Finding the Third Proportional to 312,835,512 and 459,676,245

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Solution

The third proportional to 312,835,512 and 459,676,245 is: 675,442,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,835,512 : 459,676,245 = 459,676,245 : x
  2. Step 2: Convert to fraction form
    312,835,512/459,676,245 = 459,676,245/x
  3. Step 3: Cross multiply
    312,835,512x = 459,676,245 × 459,676,245
  4. Step 4: Simplify right side
    312,835,512x = 211,302,250,217,300,032
  5. Step 5: Solve for x
    x = 211,302,250,217,300,032/312,835,512
  6. Step 6: Final answer
    x = 675,442,020.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.