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Finding the Third Proportional to 209,071 and 318,523.50

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Solution

The third proportional to 209,071 and 318,523.50 is: 485,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,071 : 318,523.50 = 318,523.50 : x
  2. Step 2: Convert to fraction form
    209,071/318,523.50 = 318,523.50/x
  3. Step 3: Cross multiply
    209,071x = 318,523.50 × 318,523.50
  4. Step 4: Simplify right side
    209,071x = 101,457,220,052.25
  5. Step 5: Solve for x
    x = 101,457,220,052.25/209,071
  6. Step 6: Final answer
    x = 485,276.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.