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Finding the Third Proportional to 295,176 and 639,276

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Solution

The third proportional to 295,176 and 639,276 is: 1,384,508.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,176 : 639,276 = 639,276 : x
  2. Step 2: Convert to fraction form
    295,176/639,276 = 639,276/x
  3. Step 3: Cross multiply
    295,176x = 639,276 × 639,276
  4. Step 4: Simplify right side
    295,176x = 408,673,804,176
  5. Step 5: Solve for x
    x = 408,673,804,176/295,176
  6. Step 6: Final answer
    x = 1,384,508.92

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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.