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Finding the Third Proportional to 405,226 and 881,804

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Solution

The third proportional to 405,226 and 881,804 is: 1,918,875.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,226 : 881,804 = 881,804 : x
  2. Step 2: Convert to fraction form
    405,226/881,804 = 881,804/x
  3. Step 3: Cross multiply
    405,226x = 881,804 × 881,804
  4. Step 4: Simplify right side
    405,226x = 777,578,294,416
  5. Step 5: Solve for x
    x = 777,578,294,416/405,226
  6. Step 6: Final answer
    x = 1,918,875.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.