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Finding the Third Proportional to 153,622 and 313,343

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Solution

The third proportional to 153,622 and 313,343 is: 639,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,622 : 313,343 = 313,343 : x
  2. Step 2: Convert to fraction form
    153,622/313,343 = 313,343/x
  3. Step 3: Cross multiply
    153,622x = 313,343 × 313,343
  4. Step 4: Simplify right side
    153,622x = 98,183,835,649
  5. Step 5: Solve for x
    x = 98,183,835,649/153,622
  6. Step 6: Final answer
    x = 639,126.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.