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Finding the Third Proportional to 405,747 and 881,478

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Solution

The third proportional to 405,747 and 881,478 is: 1,914,994.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,747 : 881,478 = 881,478 : x
  2. Step 2: Convert to fraction form
    405,747/881,478 = 881,478/x
  3. Step 3: Cross multiply
    405,747x = 881,478 × 881,478
  4. Step 4: Simplify right side
    405,747x = 777,003,464,484
  5. Step 5: Solve for x
    x = 777,003,464,484/405,747
  6. Step 6: Final answer
    x = 1,914,994.97

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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.