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Finding the Third Proportional to 313,844.63 and 402,969.94

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Solution

The third proportional to 313,844.63 and 402,969.94 is: 517,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,844.63 : 402,969.94 = 402,969.94 : x
  2. Step 2: Convert to fraction form
    313,844.63/402,969.94 = 402,969.94/x
  3. Step 3: Cross multiply
    313,844.63x = 402,969.94 × 402,969.94
  4. Step 4: Simplify right side
    313,844.63x = 162,384,770,528.75
  5. Step 5: Solve for x
    x = 162,384,770,528.75/313,844.63
  6. Step 6: Final answer
    x = 517,404.98

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.