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Finding the Third Proportional to 428,025 and 911,346

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Solution

The third proportional to 428,025 and 911,346 is: 1,940,427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,025 : 911,346 = 911,346 : x
  2. Step 2: Convert to fraction form
    428,025/911,346 = 911,346/x
  3. Step 3: Cross multiply
    428,025x = 911,346 × 911,346
  4. Step 4: Simplify right side
    428,025x = 830,551,531,716
  5. Step 5: Solve for x
    x = 830,551,531,716/428,025
  6. Step 6: Final answer
    x = 1,940,427.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.