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Finding the Third Proportional to 146,891 and 306,553

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Solution

The third proportional to 146,891 and 306,553 is: 639,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,891 : 306,553 = 306,553 : x
  2. Step 2: Convert to fraction form
    146,891/306,553 = 306,553/x
  3. Step 3: Cross multiply
    146,891x = 306,553 × 306,553
  4. Step 4: Simplify right side
    146,891x = 93,974,741,809
  5. Step 5: Solve for x
    x = 93,974,741,809/146,891
  6. Step 6: Final answer
    x = 639,758.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.