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Finding the Third Proportional to 103,196 and 210,765

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Solution

The third proportional to 103,196 and 210,765 is: 430,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,196 : 210,765 = 210,765 : x
  2. Step 2: Convert to fraction form
    103,196/210,765 = 210,765/x
  3. Step 3: Cross multiply
    103,196x = 210,765 × 210,765
  4. Step 4: Simplify right side
    103,196x = 44,421,885,225
  5. Step 5: Solve for x
    x = 44,421,885,225/103,196
  6. Step 6: Final answer
    x = 430,461.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.