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Finding the Third Proportional to 666,315 and 949,635

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Solution

The third proportional to 666,315 and 949,635 is: 1,353,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,315 : 949,635 = 949,635 : x
  2. Step 2: Convert to fraction form
    666,315/949,635 = 949,635/x
  3. Step 3: Cross multiply
    666,315x = 949,635 × 949,635
  4. Step 4: Simplify right side
    666,315x = 901,806,633,225
  5. Step 5: Solve for x
    x = 901,806,633,225/666,315
  6. Step 6: Final answer
    x = 1,353,423.88

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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.