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Finding the Third Proportional to 100,210 and 208,712.50

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Solution

The third proportional to 100,210 and 208,712.50 is: 434,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,210 : 208,712.50 = 208,712.50 : x
  2. Step 2: Convert to fraction form
    100,210/208,712.50 = 208,712.50/x
  3. Step 3: Cross multiply
    100,210x = 208,712.50 × 208,712.50
  4. Step 4: Simplify right side
    100,210x = 43,560,907,656.25
  5. Step 5: Solve for x
    x = 43,560,907,656.25/100,210
  6. Step 6: Final answer
    x = 434,696.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.