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Finding the Third Proportional to 190,865 and 302,178

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Solution

The third proportional to 190,865 and 302,178 is: 478,409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,865 : 302,178 = 302,178 : x
  2. Step 2: Convert to fraction form
    190,865/302,178 = 302,178/x
  3. Step 3: Cross multiply
    190,865x = 302,178 × 302,178
  4. Step 4: Simplify right side
    190,865x = 91,311,543,684
  5. Step 5: Solve for x
    x = 91,311,543,684/190,865
  6. Step 6: Final answer
    x = 478,409.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.