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Finding the Third Proportional to 90,706 and 210,865

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Solution

The third proportional to 90,706 and 210,865 is: 490,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,706 : 210,865 = 210,865 : x
  2. Step 2: Convert to fraction form
    90,706/210,865 = 210,865/x
  3. Step 3: Cross multiply
    90,706x = 210,865 × 210,865
  4. Step 4: Simplify right side
    90,706x = 44,464,048,225
  5. Step 5: Solve for x
    x = 44,464,048,225/90,706
  6. Step 6: Final answer
    x = 490,199.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.