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Finding the Third Proportional to 398,840 and 846,928

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Solution

The third proportional to 398,840 and 846,928 is: 1,798,433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,840 : 846,928 = 846,928 : x
  2. Step 2: Convert to fraction form
    398,840/846,928 = 846,928/x
  3. Step 3: Cross multiply
    398,840x = 846,928 × 846,928
  4. Step 4: Simplify right side
    398,840x = 717,287,037,184
  5. Step 5: Solve for x
    x = 717,287,037,184/398,840
  6. Step 6: Final answer
    x = 1,798,433.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.