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Finding the Third Proportional to 147,806 and 306,118

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Solution

The third proportional to 147,806 and 306,118 is: 633,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,806 : 306,118 = 306,118 : x
  2. Step 2: Convert to fraction form
    147,806/306,118 = 306,118/x
  3. Step 3: Cross multiply
    147,806x = 306,118 × 306,118
  4. Step 4: Simplify right side
    147,806x = 93,708,229,924
  5. Step 5: Solve for x
    x = 93,708,229,924/147,806
  6. Step 6: Final answer
    x = 633,994.76

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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.