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Finding the Third Proportional to 141,660 and 305,178

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Solution

The third proportional to 141,660 and 305,178 is: 657,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,660 : 305,178 = 305,178 : x
  2. Step 2: Convert to fraction form
    141,660/305,178 = 305,178/x
  3. Step 3: Cross multiply
    141,660x = 305,178 × 305,178
  4. Step 4: Simplify right side
    141,660x = 93,133,611,684
  5. Step 5: Solve for x
    x = 93,133,611,684/141,660
  6. Step 6: Final answer
    x = 657,444.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.