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Finding the Third Proportional to 190,988 and 415,960

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Solution

The third proportional to 190,988 and 415,960 is: 905,935.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,988 : 415,960 = 415,960 : x
  2. Step 2: Convert to fraction form
    190,988/415,960 = 415,960/x
  3. Step 3: Cross multiply
    190,988x = 415,960 × 415,960
  4. Step 4: Simplify right side
    190,988x = 173,022,721,600
  5. Step 5: Solve for x
    x = 173,022,721,600/190,988
  6. Step 6: Final answer
    x = 905,935.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.