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Finding the Third Proportional to 254,652 and 387,513

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Solution

The third proportional to 254,652 and 387,513 is: 589,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,652 : 387,513 = 387,513 : x
  2. Step 2: Convert to fraction form
    254,652/387,513 = 387,513/x
  3. Step 3: Cross multiply
    254,652x = 387,513 × 387,513
  4. Step 4: Simplify right side
    254,652x = 150,166,325,169
  5. Step 5: Solve for x
    x = 150,166,325,169/254,652
  6. Step 6: Final answer
    x = 589,692.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.