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Finding the Third Proportional to 456,878 and 669,729

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Solution

The third proportional to 456,878 and 669,729 is: 981,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,878 : 669,729 = 669,729 : x
  2. Step 2: Convert to fraction form
    456,878/669,729 = 669,729/x
  3. Step 3: Cross multiply
    456,878x = 669,729 × 669,729
  4. Step 4: Simplify right side
    456,878x = 448,536,933,441
  5. Step 5: Solve for x
    x = 448,536,933,441/456,878
  6. Step 6: Final answer
    x = 981,743.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.