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Finding the Third Proportional to 428,276 and 922,328

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Solution

The third proportional to 428,276 and 922,328 is: 1,986,310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,276 : 922,328 = 922,328 : x
  2. Step 2: Convert to fraction form
    428,276/922,328 = 922,328/x
  3. Step 3: Cross multiply
    428,276x = 922,328 × 922,328
  4. Step 4: Simplify right side
    428,276x = 850,688,939,584
  5. Step 5: Solve for x
    x = 850,688,939,584/428,276
  6. Step 6: Final answer
    x = 1,986,310.09

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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.