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Finding the Third Proportional to 405,084 and 872,502

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Solution

The third proportional to 405,084 and 872,502 is: 1,879,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,084 : 872,502 = 872,502 : x
  2. Step 2: Convert to fraction form
    405,084/872,502 = 872,502/x
  3. Step 3: Cross multiply
    405,084x = 872,502 × 872,502
  4. Step 4: Simplify right side
    405,084x = 761,259,740,004
  5. Step 5: Solve for x
    x = 761,259,740,004/405,084
  6. Step 6: Final answer
    x = 1,879,263.91

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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.