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Finding the Third Proportional to 201,674 and 423,988

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Solution

The third proportional to 201,674 and 423,988 is: 891,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,674 : 423,988 = 423,988 : x
  2. Step 2: Convert to fraction form
    201,674/423,988 = 423,988/x
  3. Step 3: Cross multiply
    201,674x = 423,988 × 423,988
  4. Step 4: Simplify right side
    201,674x = 179,765,824,144
  5. Step 5: Solve for x
    x = 179,765,824,144/201,674
  6. Step 6: Final answer
    x = 891,368.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.