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Finding the Third Proportional to 402,028 and 545,990

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Solution

The third proportional to 402,028 and 545,990 is: 741,503.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,028 : 545,990 = 545,990 : x
  2. Step 2: Convert to fraction form
    402,028/545,990 = 545,990/x
  3. Step 3: Cross multiply
    402,028x = 545,990 × 545,990
  4. Step 4: Simplify right side
    402,028x = 298,105,080,100
  5. Step 5: Solve for x
    x = 298,105,080,100/402,028
  6. Step 6: Final answer
    x = 741,503.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.