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Finding the Third Proportional to 405,137 and 873,072

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Solution

The third proportional to 405,137 and 873,072 is: 1,881,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,137 : 873,072 = 873,072 : x
  2. Step 2: Convert to fraction form
    405,137/873,072 = 873,072/x
  3. Step 3: Cross multiply
    405,137x = 873,072 × 873,072
  4. Step 4: Simplify right side
    405,137x = 762,254,717,184
  5. Step 5: Solve for x
    x = 762,254,717,184/405,137
  6. Step 6: Final answer
    x = 1,881,473.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.