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Finding the Third Proportional to 512,541 and 788,879

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Solution

The third proportional to 512,541 and 788,879 is: 1,214,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,541 : 788,879 = 788,879 : x
  2. Step 2: Convert to fraction form
    512,541/788,879 = 788,879/x
  3. Step 3: Cross multiply
    512,541x = 788,879 × 788,879
  4. Step 4: Simplify right side
    512,541x = 622,330,076,641
  5. Step 5: Solve for x
    x = 622,330,076,641/512,541
  6. Step 6: Final answer
    x = 1,214,205.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.