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Finding the Third Proportional to 395,319 and 846,399

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Solution

The third proportional to 395,319 and 846,399 is: 1,812,185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,319 : 846,399 = 846,399 : x
  2. Step 2: Convert to fraction form
    395,319/846,399 = 846,399/x
  3. Step 3: Cross multiply
    395,319x = 846,399 × 846,399
  4. Step 4: Simplify right side
    395,319x = 716,391,267,201
  5. Step 5: Solve for x
    x = 716,391,267,201/395,319
  6. Step 6: Final answer
    x = 1,812,185.27

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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.