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Finding the Third Proportional to 666,360 and 949,696.50

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Solution

The third proportional to 666,360 and 949,696.50 is: 1,353,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,360 : 949,696.50 = 949,696.50 : x
  2. Step 2: Convert to fraction form
    666,360/949,696.50 = 949,696.50/x
  3. Step 3: Cross multiply
    666,360x = 949,696.50 × 949,696.50
  4. Step 4: Simplify right side
    666,360x = 901,923,442,112.25
  5. Step 5: Solve for x
    x = 901,923,442,112.25/666,360
  6. Step 6: Final answer
    x = 1,353,507.78

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.