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Finding the Third Proportional to 398,990.50 and 853,277

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Solution

The third proportional to 398,990.50 and 853,277 is: 1,824,809.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,990.50 : 853,277 = 853,277 : x
  2. Step 2: Convert to fraction form
    398,990.50/853,277 = 853,277/x
  3. Step 3: Cross multiply
    398,990.50x = 853,277 × 853,277
  4. Step 4: Simplify right side
    398,990.50x = 728,081,638,729
  5. Step 5: Solve for x
    x = 728,081,638,729/398,990.50
  6. Step 6: Final answer
    x = 1,824,809.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.