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Finding the Third Proportional to 209,965.50 and 318,835.50

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Solution

The third proportional to 209,965.50 and 318,835.50 is: 484,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,965.50 : 318,835.50 = 318,835.50 : x
  2. Step 2: Convert to fraction form
    209,965.50/318,835.50 = 318,835.50/x
  3. Step 3: Cross multiply
    209,965.50x = 318,835.50 × 318,835.50
  4. Step 4: Simplify right side
    209,965.50x = 101,656,076,060.25
  5. Step 5: Solve for x
    x = 101,656,076,060.25/209,965.50
  6. Step 6: Final answer
    x = 484,156.09

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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.