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Finding the Third Proportional to 147,640 and 208,048

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Solution

The third proportional to 147,640 and 208,048 is: 293,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,640 : 208,048 = 208,048 : x
  2. Step 2: Convert to fraction form
    147,640/208,048 = 208,048/x
  3. Step 3: Cross multiply
    147,640x = 208,048 × 208,048
  4. Step 4: Simplify right side
    147,640x = 43,283,970,304
  5. Step 5: Solve for x
    x = 43,283,970,304/147,640
  6. Step 6: Final answer
    x = 293,172.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.