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Finding the Third Proportional to 405,120 and 872,544

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Solution

The third proportional to 405,120 and 872,544 is: 1,879,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,120 : 872,544 = 872,544 : x
  2. Step 2: Convert to fraction form
    405,120/872,544 = 872,544/x
  3. Step 3: Cross multiply
    405,120x = 872,544 × 872,544
  4. Step 4: Simplify right side
    405,120x = 761,333,031,936
  5. Step 5: Solve for x
    x = 761,333,031,936/405,120
  6. Step 6: Final answer
    x = 1,879,277.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.