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Finding the Third Proportional to 340,546 and 515,559

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Solution

The third proportional to 340,546 and 515,559 is: 780,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,546 : 515,559 = 515,559 : x
  2. Step 2: Convert to fraction form
    340,546/515,559 = 515,559/x
  3. Step 3: Cross multiply
    340,546x = 515,559 × 515,559
  4. Step 4: Simplify right side
    340,546x = 265,801,082,481
  5. Step 5: Solve for x
    x = 265,801,082,481/340,546
  6. Step 6: Final answer
    x = 780,514.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.