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Finding the Third Proportional to 175,840 and 385,880

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Solution

The third proportional to 175,840 and 385,880 is: 846,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,840 : 385,880 = 385,880 : x
  2. Step 2: Convert to fraction form
    175,840/385,880 = 385,880/x
  3. Step 3: Cross multiply
    175,840x = 385,880 × 385,880
  4. Step 4: Simplify right side
    175,840x = 148,903,374,400
  5. Step 5: Solve for x
    x = 148,903,374,400/175,840
  6. Step 6: Final answer
    x = 846,811.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.