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Finding the Third Proportional to 619,980.75 and 948,376.69

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Solution

The third proportional to 619,980.75 and 948,376.69 is: 1,450,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,980.75 : 948,376.69 = 948,376.69 : x
  2. Step 2: Convert to fraction form
    619,980.75/948,376.69 = 948,376.69/x
  3. Step 3: Cross multiply
    619,980.75x = 948,376.69 × 948,376.69
  4. Step 4: Simplify right side
    619,980.75x = 899,418,341,393.47
  5. Step 5: Solve for x
    x = 899,418,341,393.47/619,980.75
  6. Step 6: Final answer
    x = 1,450,719.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.