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Finding the Third Proportional to 405,092 and 872,510

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Solution

The third proportional to 405,092 and 872,510 is: 1,879,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,092 : 872,510 = 872,510 : x
  2. Step 2: Convert to fraction form
    405,092/872,510 = 872,510/x
  3. Step 3: Cross multiply
    405,092x = 872,510 × 872,510
  4. Step 4: Simplify right side
    405,092x = 761,273,700,100
  5. Step 5: Solve for x
    x = 761,273,700,100/405,092
  6. Step 6: Final answer
    x = 1,879,261.25

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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.