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Finding the Third Proportional to 121,281.75 and 190,833

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Solution

The third proportional to 121,281.75 and 190,833 is: 300,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,281.75 : 190,833 = 190,833 : x
  2. Step 2: Convert to fraction form
    121,281.75/190,833 = 190,833/x
  3. Step 3: Cross multiply
    121,281.75x = 190,833 × 190,833
  4. Step 4: Simplify right side
    121,281.75x = 36,417,233,889
  5. Step 5: Solve for x
    x = 36,417,233,889/121,281.75
  6. Step 6: Final answer
    x = 300,269.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.