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Finding the Third Proportional to 210,786 and 308,292

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Solution

The third proportional to 210,786 and 308,292 is: 450,902.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,786 : 308,292 = 308,292 : x
  2. Step 2: Convert to fraction form
    210,786/308,292 = 308,292/x
  3. Step 3: Cross multiply
    210,786x = 308,292 × 308,292
  4. Step 4: Simplify right side
    210,786x = 95,043,957,264
  5. Step 5: Solve for x
    x = 95,043,957,264/210,786
  6. Step 6: Final answer
    x = 450,902.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.