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Finding the Third Proportional to 128,253 and 280,644

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Solution

The third proportional to 128,253 and 280,644 is: 614,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,253 : 280,644 = 280,644 : x
  2. Step 2: Convert to fraction form
    128,253/280,644 = 280,644/x
  3. Step 3: Cross multiply
    128,253x = 280,644 × 280,644
  4. Step 4: Simplify right side
    128,253x = 78,761,054,736
  5. Step 5: Solve for x
    x = 78,761,054,736/128,253
  6. Step 6: Final answer
    x = 614,106.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.