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Finding the Third Proportional to 140,705 and 210,813

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Solution

The third proportional to 140,705 and 210,813 is: 315,853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,705 : 210,813 = 210,813 : x
  2. Step 2: Convert to fraction form
    140,705/210,813 = 210,813/x
  3. Step 3: Cross multiply
    140,705x = 210,813 × 210,813
  4. Step 4: Simplify right side
    140,705x = 44,442,120,969
  5. Step 5: Solve for x
    x = 44,442,120,969/140,705
  6. Step 6: Final answer
    x = 315,853.17

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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.