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Finding the Third Proportional to 647,467 and 1,409,880

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Solution

The third proportional to 647,467 and 1,409,880 is: 3,070,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,467 : 1,409,880 = 1,409,880 : x
  2. Step 2: Convert to fraction form
    647,467/1,409,880 = 1,409,880/x
  3. Step 3: Cross multiply
    647,467x = 1,409,880 × 1,409,880
  4. Step 4: Simplify right side
    647,467x = 1,987,761,614,400
  5. Step 5: Solve for x
    x = 1,987,761,614,400/647,467
  6. Step 6: Final answer
    x = 3,070,058.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.