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Finding the Third Proportional to 100,293.75 and 208,989

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Solution

The third proportional to 100,293.75 and 208,989 is: 435,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,293.75 : 208,989 = 208,989 : x
  2. Step 2: Convert to fraction form
    100,293.75/208,989 = 208,989/x
  3. Step 3: Cross multiply
    100,293.75x = 208,989 × 208,989
  4. Step 4: Simplify right side
    100,293.75x = 43,676,402,121
  5. Step 5: Solve for x
    x = 43,676,402,121/100,293.75
  6. Step 6: Final answer
    x = 435,484.78

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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.