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Finding the Third Proportional to 140,829 and 218,457.75

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Solution

The third proportional to 140,829 and 218,457.75 is: 338,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,829 : 218,457.75 = 218,457.75 : x
  2. Step 2: Convert to fraction form
    140,829/218,457.75 = 218,457.75/x
  3. Step 3: Cross multiply
    140,829x = 218,457.75 × 218,457.75
  4. Step 4: Simplify right side
    140,829x = 47,723,788,535.06
  5. Step 5: Solve for x
    x = 47,723,788,535.06/140,829
  6. Step 6: Final answer
    x = 338,877.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.