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Finding the Third Proportional to 666,354 and 949,689

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Solution

The third proportional to 666,354 and 949,689 is: 1,353,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,354 : 949,689 = 949,689 : x
  2. Step 2: Convert to fraction form
    666,354/949,689 = 949,689/x
  3. Step 3: Cross multiply
    666,354x = 949,689 × 949,689
  4. Step 4: Simplify right side
    666,354x = 901,909,196,721
  5. Step 5: Solve for x
    x = 901,909,196,721/666,354
  6. Step 6: Final answer
    x = 1,353,498.59

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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.