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Finding the Third Proportional to 312,891.19 and 727,894.69

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Solution

The third proportional to 312,891.19 and 727,894.69 is: 1,693,338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,891.19 : 727,894.69 = 727,894.69 : x
  2. Step 2: Convert to fraction form
    312,891.19/727,894.69 = 727,894.69/x
  3. Step 3: Cross multiply
    312,891.19x = 727,894.69 × 727,894.69
  4. Step 4: Simplify right side
    312,891.19x = 529,830,676,090.72
  5. Step 5: Solve for x
    x = 529,830,676,090.72/312,891.19
  6. Step 6: Final answer
    x = 1,693,338.44

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.