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Finding the Third Proportional to 331,503.75 and 509,841

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Solution

The third proportional to 331,503.75 and 509,841 is: 784,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,503.75 : 509,841 = 509,841 : x
  2. Step 2: Convert to fraction form
    331,503.75/509,841 = 509,841/x
  3. Step 3: Cross multiply
    331,503.75x = 509,841 × 509,841
  4. Step 4: Simplify right side
    331,503.75x = 259,937,845,281
  5. Step 5: Solve for x
    x = 259,937,845,281/331,503.75
  6. Step 6: Final answer
    x = 784,117.36

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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.