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Finding the Third Proportional to 402,326 and 563,896

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Solution

The third proportional to 402,326 and 563,896 is: 790,350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,326 : 563,896 = 563,896 : x
  2. Step 2: Convert to fraction form
    402,326/563,896 = 563,896/x
  3. Step 3: Cross multiply
    402,326x = 563,896 × 563,896
  4. Step 4: Simplify right side
    402,326x = 317,978,698,816
  5. Step 5: Solve for x
    x = 317,978,698,816/402,326
  6. Step 6: Final answer
    x = 790,350.86

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.