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Finding the Third Proportional to 134,128 and 279,272

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Solution

The third proportional to 134,128 and 279,272 is: 581,480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,128 : 279,272 = 279,272 : x
  2. Step 2: Convert to fraction form
    134,128/279,272 = 279,272/x
  3. Step 3: Cross multiply
    134,128x = 279,272 × 279,272
  4. Step 4: Simplify right side
    134,128x = 77,992,849,984
  5. Step 5: Solve for x
    x = 77,992,849,984/134,128
  6. Step 6: Final answer
    x = 581,480.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.