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Finding the Third Proportional to 460,763 and 721,242

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Solution

The third proportional to 460,763 and 721,242 is: 1,128,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,763 : 721,242 = 721,242 : x
  2. Step 2: Convert to fraction form
    460,763/721,242 = 721,242/x
  3. Step 3: Cross multiply
    460,763x = 721,242 × 721,242
  4. Step 4: Simplify right side
    460,763x = 520,190,022,564
  5. Step 5: Solve for x
    x = 520,190,022,564/460,763
  6. Step 6: Final answer
    x = 1,128,975.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.