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Finding the Third Proportional to 428,979 and 914,955

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Solution

The third proportional to 428,979 and 914,955 is: 1,951,477.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,979 : 914,955 = 914,955 : x
  2. Step 2: Convert to fraction form
    428,979/914,955 = 914,955/x
  3. Step 3: Cross multiply
    428,979x = 914,955 × 914,955
  4. Step 4: Simplify right side
    428,979x = 837,142,652,025
  5. Step 5: Solve for x
    x = 837,142,652,025/428,979
  6. Step 6: Final answer
    x = 1,951,477.00

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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.