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Finding the Third Proportional to 548,238 and 847,258

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Solution

The third proportional to 548,238 and 847,258 is: 1,309,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,238 : 847,258 = 847,258 : x
  2. Step 2: Convert to fraction form
    548,238/847,258 = 847,258/x
  3. Step 3: Cross multiply
    548,238x = 847,258 × 847,258
  4. Step 4: Simplify right side
    548,238x = 717,846,118,564
  5. Step 5: Solve for x
    x = 717,846,118,564/548,238
  6. Step 6: Final answer
    x = 1,309,369.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.