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Finding the Third Proportional to 140,703 and 210,810

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Solution

The third proportional to 140,703 and 210,810 is: 315,848.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,703 : 210,810 = 210,810 : x
  2. Step 2: Convert to fraction form
    140,703/210,810 = 210,810/x
  3. Step 3: Cross multiply
    140,703x = 210,810 × 210,810
  4. Step 4: Simplify right side
    140,703x = 44,440,856,100
  5. Step 5: Solve for x
    x = 44,440,856,100/140,703
  6. Step 6: Final answer
    x = 315,848.67

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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.