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Finding the Third Proportional to 140,971.50 and 211,412.25

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Solution

The third proportional to 140,971.50 and 211,412.25 is: 317,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,971.50 : 211,412.25 = 211,412.25 : x
  2. Step 2: Convert to fraction form
    140,971.50/211,412.25 = 211,412.25/x
  3. Step 3: Cross multiply
    140,971.50x = 211,412.25 × 211,412.25
  4. Step 4: Simplify right side
    140,971.50x = 44,695,139,450.06
  5. Step 5: Solve for x
    x = 44,695,139,450.06/140,971.50
  6. Step 6: Final answer
    x = 317,050.89

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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.