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Finding the Third Proportional to 178,618.92 and 385,281.56

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Solution

The third proportional to 178,618.92 and 385,281.56 is: 831,053.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,618.92 : 385,281.56 = 385,281.56 : x
  2. Step 2: Convert to fraction form
    178,618.92/385,281.56 = 385,281.56/x
  3. Step 3: Cross multiply
    178,618.92x = 385,281.56 × 385,281.56
  4. Step 4: Simplify right side
    178,618.92x = 148,441,882,402.44
  5. Step 5: Solve for x
    x = 148,441,882,402.44/178,618.92
  6. Step 6: Final answer
    x = 831,053.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.