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Finding the Third Proportional to 321,397.88 and 613,635.75

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Solution

The third proportional to 321,397.88 and 613,635.75 is: 1,171,597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,397.88 : 613,635.75 = 613,635.75 : x
  2. Step 2: Convert to fraction form
    321,397.88/613,635.75 = 613,635.75/x
  3. Step 3: Cross multiply
    321,397.88x = 613,635.75 × 613,635.75
  4. Step 4: Simplify right side
    321,397.88x = 376,548,833,678.06
  5. Step 5: Solve for x
    x = 376,548,833,678.06/321,397.88
  6. Step 6: Final answer
    x = 1,171,597.15

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.