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Finding the Third Proportional to 405,864 and 881,700

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Solution

The third proportional to 405,864 and 881,700 is: 1,915,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,864 : 881,700 = 881,700 : x
  2. Step 2: Convert to fraction form
    405,864/881,700 = 881,700/x
  3. Step 3: Cross multiply
    405,864x = 881,700 × 881,700
  4. Step 4: Simplify right side
    405,864x = 777,394,890,000
  5. Step 5: Solve for x
    x = 777,394,890,000/405,864
  6. Step 6: Final answer
    x = 1,915,407.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.