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Finding the Third Proportional to 386,738 and 847,820

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Solution

The third proportional to 386,738 and 847,820 is: 1,858,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,738 : 847,820 = 847,820 : x
  2. Step 2: Convert to fraction form
    386,738/847,820 = 847,820/x
  3. Step 3: Cross multiply
    386,738x = 847,820 × 847,820
  4. Step 4: Simplify right side
    386,738x = 718,798,752,400
  5. Step 5: Solve for x
    x = 718,798,752,400/386,738
  6. Step 6: Final answer
    x = 1,858,619.41

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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.