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Finding the Third Proportional to 209,953.13 and 318,817.69

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Solution

The third proportional to 209,953.13 and 318,817.69 is: 484,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953.13 : 318,817.69 = 318,817.69 : x
  2. Step 2: Convert to fraction form
    209,953.13/318,817.69 = 318,817.69/x
  3. Step 3: Cross multiply
    209,953.13x = 318,817.69 × 318,817.69
  4. Step 4: Simplify right side
    209,953.13x = 101,644,717,862.85
  5. Step 5: Solve for x
    x = 101,644,717,862.85/209,953.13
  6. Step 6: Final answer
    x = 484,130.53

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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.