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Finding the Third Proportional to 201,640 and 304,080

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Solution

The third proportional to 201,640 and 304,080 is: 458,563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,640 : 304,080 = 304,080 : x
  2. Step 2: Convert to fraction form
    201,640/304,080 = 304,080/x
  3. Step 3: Cross multiply
    201,640x = 304,080 × 304,080
  4. Step 4: Simplify right side
    201,640x = 92,464,646,400
  5. Step 5: Solve for x
    x = 92,464,646,400/201,640
  6. Step 6: Final answer
    x = 458,563.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.