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Finding the Third Proportional to 459,133.31 and 988,660.69

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Solution

The third proportional to 459,133.31 and 988,660.69 is: 2,128,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,133.31 : 988,660.69 = 988,660.69 : x
  2. Step 2: Convert to fraction form
    459,133.31/988,660.69 = 988,660.69/x
  3. Step 3: Cross multiply
    459,133.31x = 988,660.69 × 988,660.69
  4. Step 4: Simplify right side
    459,133.31x = 977,449,955,007.97
  5. Step 5: Solve for x
    x = 977,449,955,007.97/459,133.31
  6. Step 6: Final answer
    x = 2,128,902.28

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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.