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Finding the Third Proportional to 103,212.75 and 209,330.25

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Solution

The third proportional to 103,212.75 and 209,330.25 is: 424,551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,212.75 : 209,330.25 = 209,330.25 : x
  2. Step 2: Convert to fraction form
    103,212.75/209,330.25 = 209,330.25/x
  3. Step 3: Cross multiply
    103,212.75x = 209,330.25 × 209,330.25
  4. Step 4: Simplify right side
    103,212.75x = 43,819,153,565.06
  5. Step 5: Solve for x
    x = 43,819,153,565.06/103,212.75
  6. Step 6: Final answer
    x = 424,551.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.