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Finding the Third Proportional to 30,515.06 and 66,047.48

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Solution

The third proportional to 30,515.06 and 66,047.48 is: 142,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,515.06 : 66,047.48 = 66,047.48 : x
  2. Step 2: Convert to fraction form
    30,515.06/66,047.48 = 66,047.48/x
  3. Step 3: Cross multiply
    30,515.06x = 66,047.48 × 66,047.48
  4. Step 4: Simplify right side
    30,515.06x = 4,362,270,192.27
  5. Step 5: Solve for x
    x = 4,362,270,192.27/30,515.06
  6. Step 6: Final answer
    x = 142,954.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.