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Finding the Third Proportional to 230,403 and 505,091

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Solution

The third proportional to 230,403 and 505,091 is: 1,107,263.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,403 : 505,091 = 505,091 : x
  2. Step 2: Convert to fraction form
    230,403/505,091 = 505,091/x
  3. Step 3: Cross multiply
    230,403x = 505,091 × 505,091
  4. Step 4: Simplify right side
    230,403x = 255,116,918,281
  5. Step 5: Solve for x
    x = 255,116,918,281/230,403
  6. Step 6: Final answer
    x = 1,107,263.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.