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Finding the Third Proportional to 70,680.38 and 153,825.75

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Solution

The third proportional to 70,680.38 and 153,825.75 is: 334,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,680.38 : 153,825.75 = 153,825.75 : x
  2. Step 2: Convert to fraction form
    70,680.38/153,825.75 = 153,825.75/x
  3. Step 3: Cross multiply
    70,680.38x = 153,825.75 × 153,825.75
  4. Step 4: Simplify right side
    70,680.38x = 23,662,361,363.06
  5. Step 5: Solve for x
    x = 23,662,361,363.06/70,680.38
  6. Step 6: Final answer
    x = 334,779.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.