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Finding the Third Proportional to 428,280 and 922,336

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Solution

The third proportional to 428,280 and 922,336 is: 1,986,325.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,280 : 922,336 = 922,336 : x
  2. Step 2: Convert to fraction form
    428,280/922,336 = 922,336/x
  3. Step 3: Cross multiply
    428,280x = 922,336 × 922,336
  4. Step 4: Simplify right side
    428,280x = 850,703,696,896
  5. Step 5: Solve for x
    x = 850,703,696,896/428,280
  6. Step 6: Final answer
    x = 1,986,325.99

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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.