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Finding the Third Proportional to 286,767 and 401,085

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Solution

The third proportional to 286,767 and 401,085 is: 560,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,767 : 401,085 = 401,085 : x
  2. Step 2: Convert to fraction form
    286,767/401,085 = 401,085/x
  3. Step 3: Cross multiply
    286,767x = 401,085 × 401,085
  4. Step 4: Simplify right side
    286,767x = 160,869,177,225
  5. Step 5: Solve for x
    x = 160,869,177,225/286,767
  6. Step 6: Final answer
    x = 560,975.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.