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Finding the Third Proportional to 666,378 and 974,574

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Solution

The third proportional to 666,378 and 974,574 is: 1,425,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,378 : 974,574 = 974,574 : x
  2. Step 2: Convert to fraction form
    666,378/974,574 = 974,574/x
  3. Step 3: Cross multiply
    666,378x = 974,574 × 974,574
  4. Step 4: Simplify right side
    666,378x = 949,794,481,476
  5. Step 5: Solve for x
    x = 949,794,481,476/666,378
  6. Step 6: Final answer
    x = 1,425,308.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.