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Finding the Third Proportional to 128,656 and 279,968

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Solution

The third proportional to 128,656 and 279,968 is: 609,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,656 : 279,968 = 279,968 : x
  2. Step 2: Convert to fraction form
    128,656/279,968 = 279,968/x
  3. Step 3: Cross multiply
    128,656x = 279,968 × 279,968
  4. Step 4: Simplify right side
    128,656x = 78,382,081,024
  5. Step 5: Solve for x
    x = 78,382,081,024/128,656
  6. Step 6: Final answer
    x = 609,237.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.