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Finding the Third Proportional to 428,222 and 922,216

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Solution

The third proportional to 428,222 and 922,216 is: 1,986,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,222 : 922,216 = 922,216 : x
  2. Step 2: Convert to fraction form
    428,222/922,216 = 922,216/x
  3. Step 3: Cross multiply
    428,222x = 922,216 × 922,216
  4. Step 4: Simplify right side
    428,222x = 850,482,350,656
  5. Step 5: Solve for x
    x = 850,482,350,656/428,222
  6. Step 6: Final answer
    x = 1,986,078.13

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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.