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Finding the Third Proportional to 140,308 and 210,622

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Solution

The third proportional to 140,308 and 210,622 is: 316,173.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,308 : 210,622 = 210,622 : x
  2. Step 2: Convert to fraction form
    140,308/210,622 = 210,622/x
  3. Step 3: Cross multiply
    140,308x = 210,622 × 210,622
  4. Step 4: Simplify right side
    140,308x = 44,361,626,884
  5. Step 5: Solve for x
    x = 44,361,626,884/140,308
  6. Step 6: Final answer
    x = 316,173.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.