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Finding the Third Proportional to 402,978 and 882,372

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Solution

The third proportional to 402,978 and 882,372 is: 1,932,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,978 : 882,372 = 882,372 : x
  2. Step 2: Convert to fraction form
    402,978/882,372 = 882,372/x
  3. Step 3: Cross multiply
    402,978x = 882,372 × 882,372
  4. Step 4: Simplify right side
    402,978x = 778,580,346,384
  5. Step 5: Solve for x
    x = 778,580,346,384/402,978
  6. Step 6: Final answer
    x = 1,932,066.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.