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Finding the Third Proportional to 311,698.76 and 418,340.64

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Solution

The third proportional to 311,698.76 and 418,340.64 is: 561,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,698.76 : 418,340.64 = 418,340.64 : x
  2. Step 2: Convert to fraction form
    311,698.76/418,340.64 = 418,340.64/x
  3. Step 3: Cross multiply
    311,698.76x = 418,340.64 × 418,340.64
  4. Step 4: Simplify right side
    311,698.76x = 175,008,888,330.25
  5. Step 5: Solve for x
    x = 175,008,888,330.25/311,698.76
  6. Step 6: Final answer
    x = 561,468.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.