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Finding the Third Proportional to 147,819 and 306,137

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Solution

The third proportional to 147,819 and 306,137 is: 634,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,819 : 306,137 = 306,137 : x
  2. Step 2: Convert to fraction form
    147,819/306,137 = 306,137/x
  3. Step 3: Cross multiply
    147,819x = 306,137 × 306,137
  4. Step 4: Simplify right side
    147,819x = 93,719,862,769
  5. Step 5: Solve for x
    x = 93,719,862,769/147,819
  6. Step 6: Final answer
    x = 634,017.70

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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.