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Finding the Third Proportional to 313,164 and 665,208

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Solution

The third proportional to 313,164 and 665,208 is: 1,413,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,164 : 665,208 = 665,208 : x
  2. Step 2: Convert to fraction form
    313,164/665,208 = 665,208/x
  3. Step 3: Cross multiply
    313,164x = 665,208 × 665,208
  4. Step 4: Simplify right side
    313,164x = 442,501,683,264
  5. Step 5: Solve for x
    x = 442,501,683,264/313,164
  6. Step 6: Final answer
    x = 1,413,003.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.