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Finding the Third Proportional to 147,778 and 306,068

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Solution

The third proportional to 147,778 and 306,068 is: 633,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,778 : 306,068 = 306,068 : x
  2. Step 2: Convert to fraction form
    147,778/306,068 = 306,068/x
  3. Step 3: Cross multiply
    147,778x = 306,068 × 306,068
  4. Step 4: Simplify right side
    147,778x = 93,677,620,624
  5. Step 5: Solve for x
    x = 93,677,620,624/147,778
  6. Step 6: Final answer
    x = 633,907.76

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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.