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Finding the Third Proportional to 209,953.38 and 318,818.13

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Solution

The third proportional to 209,953.38 and 318,818.13 is: 484,131.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953.38 : 318,818.13 = 318,818.13 : x
  2. Step 2: Convert to fraction form
    209,953.38/318,818.13 = 318,818.13/x
  3. Step 3: Cross multiply
    209,953.38x = 318,818.13 × 318,818.13
  4. Step 4: Simplify right side
    209,953.38x = 101,644,996,828.52
  5. Step 5: Solve for x
    x = 101,644,996,828.52/209,953.38
  6. Step 6: Final answer
    x = 484,131.28

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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.