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Finding the Third Proportional to 70,485.19 and 145,640.53

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Solution

The third proportional to 70,485.19 and 145,640.53 is: 300,930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,485.19 : 145,640.53 = 145,640.53 : x
  2. Step 2: Convert to fraction form
    70,485.19/145,640.53 = 145,640.53/x
  3. Step 3: Cross multiply
    70,485.19x = 145,640.53 × 145,640.53
  4. Step 4: Simplify right side
    70,485.19x = 21,211,164,342.78
  5. Step 5: Solve for x
    x = 21,211,164,342.78/70,485.19
  6. Step 6: Final answer
    x = 300,930.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.