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Finding the Third Proportional to 512,091 and 775,210.50

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Solution

The third proportional to 512,091 and 775,210.50 is: 1,173,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,091 : 775,210.50 = 775,210.50 : x
  2. Step 2: Convert to fraction form
    512,091/775,210.50 = 775,210.50/x
  3. Step 3: Cross multiply
    512,091x = 775,210.50 × 775,210.50
  4. Step 4: Simplify right side
    512,091x = 600,951,319,310.25
  5. Step 5: Solve for x
    x = 600,951,319,310.25/512,091
  6. Step 6: Final answer
    x = 1,173,524.47

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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.