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Finding the Third Proportional to 147,799 and 306,108

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Solution

The third proportional to 147,799 and 306,108 is: 633,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,799 : 306,108 = 306,108 : x
  2. Step 2: Convert to fraction form
    147,799/306,108 = 306,108/x
  3. Step 3: Cross multiply
    147,799x = 306,108 × 306,108
  4. Step 4: Simplify right side
    147,799x = 93,702,107,664
  5. Step 5: Solve for x
    x = 93,702,107,664/147,799
  6. Step 6: Final answer
    x = 633,983.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.