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Finding the Third Proportional to 305,190 and 662,922

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Solution

The third proportional to 305,190 and 662,922 is: 1,439,973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,190 : 662,922 = 662,922 : x
  2. Step 2: Convert to fraction form
    305,190/662,922 = 662,922/x
  3. Step 3: Cross multiply
    305,190x = 662,922 × 662,922
  4. Step 4: Simplify right side
    305,190x = 439,465,578,084
  5. Step 5: Solve for x
    x = 439,465,578,084/305,190
  6. Step 6: Final answer
    x = 1,439,973.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.