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Finding the Third Proportional to 666,352.50 and 949,686.75

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Solution

The third proportional to 666,352.50 and 949,686.75 is: 1,353,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,352.50 : 949,686.75 = 949,686.75 : x
  2. Step 2: Convert to fraction form
    666,352.50/949,686.75 = 949,686.75/x
  3. Step 3: Cross multiply
    666,352.50x = 949,686.75 × 949,686.75
  4. Step 4: Simplify right side
    666,352.50x = 901,904,923,125.56
  5. Step 5: Solve for x
    x = 901,904,923,125.56/666,352.50
  6. Step 6: Final answer
    x = 1,353,495.22

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Why These Related Problems?

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