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Finding the Third Proportional to 140,292 and 210,600

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Solution

The third proportional to 140,292 and 210,600 is: 316,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,292 : 210,600 = 210,600 : x
  2. Step 2: Convert to fraction form
    140,292/210,600 = 210,600/x
  3. Step 3: Cross multiply
    140,292x = 210,600 × 210,600
  4. Step 4: Simplify right side
    140,292x = 44,352,360,000
  5. Step 5: Solve for x
    x = 44,352,360,000/140,292
  6. Step 6: Final answer
    x = 316,143.19

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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.