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Finding the Third Proportional to 457,900 and 983,516

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Solution

The third proportional to 457,900 and 983,516 is: 2,112,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,900 : 983,516 = 983,516 : x
  2. Step 2: Convert to fraction form
    457,900/983,516 = 983,516/x
  3. Step 3: Cross multiply
    457,900x = 983,516 × 983,516
  4. Step 4: Simplify right side
    457,900x = 967,303,722,256
  5. Step 5: Solve for x
    x = 967,303,722,256/457,900
  6. Step 6: Final answer
    x = 2,112,478.10

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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.