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Finding the Third Proportional to 390,530 and 846,184

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Solution

The third proportional to 390,530 and 846,184 is: 1,833,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,530 : 846,184 = 846,184 : x
  2. Step 2: Convert to fraction form
    390,530/846,184 = 846,184/x
  3. Step 3: Cross multiply
    390,530x = 846,184 × 846,184
  4. Step 4: Simplify right side
    390,530x = 716,027,361,856
  5. Step 5: Solve for x
    x = 716,027,361,856/390,530
  6. Step 6: Final answer
    x = 1,833,475.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.