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Finding the Third Proportional to 401,780 and 545,666

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Solution

The third proportional to 401,780 and 545,666 is: 741,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,780 : 545,666 = 545,666 : x
  2. Step 2: Convert to fraction form
    401,780/545,666 = 545,666/x
  3. Step 3: Cross multiply
    401,780x = 545,666 × 545,666
  4. Step 4: Simplify right side
    401,780x = 297,751,383,556
  5. Step 5: Solve for x
    x = 297,751,383,556/401,780
  6. Step 6: Final answer
    x = 741,080.65

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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.