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Finding the Third Proportional to 331,117.88 and 509,593.78

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Solution

The third proportional to 331,117.88 and 509,593.78 is: 784,270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,117.88 : 509,593.78 = 509,593.78 : x
  2. Step 2: Convert to fraction form
    331,117.88/509,593.78 = 509,593.78/x
  3. Step 3: Cross multiply
    331,117.88x = 509,593.78 × 509,593.78
  4. Step 4: Simplify right side
    331,117.88x = 259,685,821,888.67
  5. Step 5: Solve for x
    x = 259,685,821,888.67/331,117.88
  6. Step 6: Final answer
    x = 784,270.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.