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Finding the Third Proportional to 395,487 and 847,020

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Solution

The third proportional to 395,487 and 847,020 is: 1,814,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,487 : 847,020 = 847,020 : x
  2. Step 2: Convert to fraction form
    395,487/847,020 = 847,020/x
  3. Step 3: Cross multiply
    395,487x = 847,020 × 847,020
  4. Step 4: Simplify right side
    395,487x = 717,442,880,400
  5. Step 5: Solve for x
    x = 717,442,880,400/395,487
  6. Step 6: Final answer
    x = 1,814,074.50

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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.