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Finding the Third Proportional to 140,400 and 210,735

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Solution

The third proportional to 140,400 and 210,735 is: 316,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,400 : 210,735 = 210,735 : x
  2. Step 2: Convert to fraction form
    140,400/210,735 = 210,735/x
  3. Step 3: Cross multiply
    140,400x = 210,735 × 210,735
  4. Step 4: Simplify right side
    140,400x = 44,409,240,225
  5. Step 5: Solve for x
    x = 44,409,240,225/140,400
  6. Step 6: Final answer
    x = 316,305.13

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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.