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Finding the Third Proportional to 219,116 and 313,122

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Solution

The third proportional to 219,116 and 313,122 is: 447,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,116 : 313,122 = 313,122 : x
  2. Step 2: Convert to fraction form
    219,116/313,122 = 313,122/x
  3. Step 3: Cross multiply
    219,116x = 313,122 × 313,122
  4. Step 4: Simplify right side
    219,116x = 98,045,386,884
  5. Step 5: Solve for x
    x = 98,045,386,884/219,116
  6. Step 6: Final answer
    x = 447,458.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.