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Finding the Third Proportional to 295,178 and 639,280

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Solution

The third proportional to 295,178 and 639,280 is: 1,384,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,178 : 639,280 = 639,280 : x
  2. Step 2: Convert to fraction form
    295,178/639,280 = 639,280/x
  3. Step 3: Cross multiply
    295,178x = 639,280 × 639,280
  4. Step 4: Simplify right side
    295,178x = 408,678,918,400
  5. Step 5: Solve for x
    x = 408,678,918,400/295,178
  6. Step 6: Final answer
    x = 1,384,516.86

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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.