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Finding the Third Proportional to 456,780 and 983,400

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Solution

The third proportional to 456,780 and 983,400 is: 2,117,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,780 : 983,400 = 983,400 : x
  2. Step 2: Convert to fraction form
    456,780/983,400 = 983,400/x
  3. Step 3: Cross multiply
    456,780x = 983,400 × 983,400
  4. Step 4: Simplify right side
    456,780x = 967,075,560,000
  5. Step 5: Solve for x
    x = 967,075,560,000/456,780
  6. Step 6: Final answer
    x = 2,117,158.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.