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Finding the Third Proportional to 310,284 and 668,064

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Solution

The third proportional to 310,284 and 668,064 is: 1,438,390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,284 : 668,064 = 668,064 : x
  2. Step 2: Convert to fraction form
    310,284/668,064 = 668,064/x
  3. Step 3: Cross multiply
    310,284x = 668,064 × 668,064
  4. Step 4: Simplify right side
    310,284x = 446,309,508,096
  5. Step 5: Solve for x
    x = 446,309,508,096/310,284
  6. Step 6: Final answer
    x = 1,438,390.34

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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.