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Finding the Third Proportional to 128,646 and 275,748

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Solution

The third proportional to 128,646 and 275,748 is: 591,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,646 : 275,748 = 275,748 : x
  2. Step 2: Convert to fraction form
    128,646/275,748 = 275,748/x
  3. Step 3: Cross multiply
    128,646x = 275,748 × 275,748
  4. Step 4: Simplify right side
    128,646x = 76,036,959,504
  5. Step 5: Solve for x
    x = 76,036,959,504/128,646
  6. Step 6: Final answer
    x = 591,055.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.