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Finding the Third Proportional to 395,370 and 847,947

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Solution

The third proportional to 395,370 and 847,947 is: 1,818,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,370 : 847,947 = 847,947 : x
  2. Step 2: Convert to fraction form
    395,370/847,947 = 847,947/x
  3. Step 3: Cross multiply
    395,370x = 847,947 × 847,947
  4. Step 4: Simplify right side
    395,370x = 719,014,114,809
  5. Step 5: Solve for x
    x = 719,014,114,809/395,370
  6. Step 6: Final answer
    x = 1,818,585.41

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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.