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Finding the Third Proportional to 405,064 and 650,800

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Solution

The third proportional to 405,064 and 650,800 is: 1,045,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,064 : 650,800 = 650,800 : x
  2. Step 2: Convert to fraction form
    405,064/650,800 = 650,800/x
  3. Step 3: Cross multiply
    405,064x = 650,800 × 650,800
  4. Step 4: Simplify right side
    405,064x = 423,540,640,000
  5. Step 5: Solve for x
    x = 423,540,640,000/405,064
  6. Step 6: Final answer
    x = 1,045,614.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.