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Finding the Third Proportional to 254,655 and 539,666

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Solution

The third proportional to 254,655 and 539,666 is: 1,143,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,655 : 539,666 = 539,666 : x
  2. Step 2: Convert to fraction form
    254,655/539,666 = 539,666/x
  3. Step 3: Cross multiply
    254,655x = 539,666 × 539,666
  4. Step 4: Simplify right side
    254,655x = 291,239,391,556
  5. Step 5: Solve for x
    x = 291,239,391,556/254,655
  6. Step 6: Final answer
    x = 1,143,662.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.