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Finding the Third Proportional to 457,904 and 983,520

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Solution

The third proportional to 457,904 and 983,520 is: 2,112,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,904 : 983,520 = 983,520 : x
  2. Step 2: Convert to fraction form
    457,904/983,520 = 983,520/x
  3. Step 3: Cross multiply
    457,904x = 983,520 × 983,520
  4. Step 4: Simplify right side
    457,904x = 967,311,590,400
  5. Step 5: Solve for x
    x = 967,311,590,400/457,904
  6. Step 6: Final answer
    x = 2,112,476.83

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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.