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Finding the Third Proportional to 456,840 and 983,680

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Solution

The third proportional to 456,840 and 983,680 is: 2,118,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,840 : 983,680 = 983,680 : x
  2. Step 2: Convert to fraction form
    456,840/983,680 = 983,680/x
  3. Step 3: Cross multiply
    456,840x = 983,680 × 983,680
  4. Step 4: Simplify right side
    456,840x = 967,626,342,400
  5. Step 5: Solve for x
    x = 967,626,342,400/456,840
  6. Step 6: Final answer
    x = 2,118,085.86

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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.