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Finding the Third Proportional to 128,594 and 200,253

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Solution

The third proportional to 128,594 and 200,253 is: 311,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,594 : 200,253 = 200,253 : x
  2. Step 2: Convert to fraction form
    128,594/200,253 = 200,253/x
  3. Step 3: Cross multiply
    128,594x = 200,253 × 200,253
  4. Step 4: Simplify right side
    128,594x = 40,101,264,009
  5. Step 5: Solve for x
    x = 40,101,264,009/128,594
  6. Step 6: Final answer
    x = 311,843.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.