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Finding the Third Proportional to 103,640 and 153,272

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Solution

The third proportional to 103,640 and 153,272 is: 226,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640 : 153,272 = 153,272 : x
  2. Step 2: Convert to fraction form
    103,640/153,272 = 153,272/x
  3. Step 3: Cross multiply
    103,640x = 153,272 × 153,272
  4. Step 4: Simplify right side
    103,640x = 23,492,305,984
  5. Step 5: Solve for x
    x = 23,492,305,984/103,640
  6. Step 6: Final answer
    x = 226,672.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.