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Finding the Third Proportional to 395,465 and 853,138

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Solution

The third proportional to 395,465 and 853,138 is: 1,840,477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,465 : 853,138 = 853,138 : x
  2. Step 2: Convert to fraction form
    395,465/853,138 = 853,138/x
  3. Step 3: Cross multiply
    395,465x = 853,138 × 853,138
  4. Step 4: Simplify right side
    395,465x = 727,844,447,044
  5. Step 5: Solve for x
    x = 727,844,447,044/395,465
  6. Step 6: Final answer
    x = 1,840,477.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.