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Finding the Third Proportional to 405,064 and 872,453

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Solution

The third proportional to 405,064 and 872,453 is: 1,879,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,064 : 872,453 = 872,453 : x
  2. Step 2: Convert to fraction form
    405,064/872,453 = 872,453/x
  3. Step 3: Cross multiply
    405,064x = 872,453 × 872,453
  4. Step 4: Simplify right side
    405,064x = 761,174,237,209
  5. Step 5: Solve for x
    x = 761,174,237,209/405,064
  6. Step 6: Final answer
    x = 1,879,145.61

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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.