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Finding the Third Proportional to 369,943.45 and 811,894.64

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Solution

The third proportional to 369,943.45 and 811,894.64 is: 1,781,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,943.45 : 811,894.64 = 811,894.64 : x
  2. Step 2: Convert to fraction form
    369,943.45/811,894.64 = 811,894.64/x
  3. Step 3: Cross multiply
    369,943.45x = 811,894.64 × 811,894.64
  4. Step 4: Simplify right side
    369,943.45x = 659,172,907,475.60
  5. Step 5: Solve for x
    x = 659,172,907,475.60/369,943.45
  6. Step 6: Final answer
    x = 1,781,820.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.