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Finding the Third Proportional to 128,850 and 279,764

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Solution

The third proportional to 128,850 and 279,764 is: 607,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,850 : 279,764 = 279,764 : x
  2. Step 2: Convert to fraction form
    128,850/279,764 = 279,764/x
  3. Step 3: Cross multiply
    128,850x = 279,764 × 279,764
  4. Step 4: Simplify right side
    128,850x = 78,267,895,696
  5. Step 5: Solve for x
    x = 78,267,895,696/128,850
  6. Step 6: Final answer
    x = 607,434.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.