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Finding the Third Proportional to 666,346.50 and 949,677

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Solution

The third proportional to 666,346.50 and 949,677 is: 1,353,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,346.50 : 949,677 = 949,677 : x
  2. Step 2: Convert to fraction form
    666,346.50/949,677 = 949,677/x
  3. Step 3: Cross multiply
    666,346.50x = 949,677 × 949,677
  4. Step 4: Simplify right side
    666,346.50x = 901,886,404,329
  5. Step 5: Solve for x
    x = 901,886,404,329/666,346.50
  6. Step 6: Final answer
    x = 1,353,479.62

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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.