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Finding the Third Proportional to 186,988 and 405,680

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Solution

The third proportional to 186,988 and 405,680 is: 880,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,988 : 405,680 = 405,680 : x
  2. Step 2: Convert to fraction form
    186,988/405,680 = 405,680/x
  3. Step 3: Cross multiply
    186,988x = 405,680 × 405,680
  4. Step 4: Simplify right side
    186,988x = 164,576,262,400
  5. Step 5: Solve for x
    x = 164,576,262,400/186,988
  6. Step 6: Final answer
    x = 880,143.44

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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.