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Finding the Third Proportional to 322,164 and 690,984

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Solution

The third proportional to 322,164 and 690,984 is: 1,482,036.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,164 : 690,984 = 690,984 : x
  2. Step 2: Convert to fraction form
    322,164/690,984 = 690,984/x
  3. Step 3: Cross multiply
    322,164x = 690,984 × 690,984
  4. Step 4: Simplify right side
    322,164x = 477,458,888,256
  5. Step 5: Solve for x
    x = 477,458,888,256/322,164
  6. Step 6: Final answer
    x = 1,482,036.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.