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Finding the Third Proportional to 345,559 and 515,673

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Solution

The third proportional to 345,559 and 515,673 is: 769,531.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,559 : 515,673 = 515,673 : x
  2. Step 2: Convert to fraction form
    345,559/515,673 = 515,673/x
  3. Step 3: Cross multiply
    345,559x = 515,673 × 515,673
  4. Step 4: Simplify right side
    345,559x = 265,918,642,929
  5. Step 5: Solve for x
    x = 265,918,642,929/345,559
  6. Step 6: Final answer
    x = 769,531.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.