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Finding the Third Proportional to 428,772 and 937,518

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Solution

The third proportional to 428,772 and 937,518 is: 2,049,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,772 : 937,518 = 937,518 : x
  2. Step 2: Convert to fraction form
    428,772/937,518 = 937,518/x
  3. Step 3: Cross multiply
    428,772x = 937,518 × 937,518
  4. Step 4: Simplify right side
    428,772x = 878,940,000,324
  5. Step 5: Solve for x
    x = 878,940,000,324/428,772
  6. Step 6: Final answer
    x = 2,049,900.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.