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Finding the Third Proportional to 128,226 and 296,820

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Solution

The third proportional to 128,226 and 296,820 is: 687,084.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,226 : 296,820 = 296,820 : x
  2. Step 2: Convert to fraction form
    128,226/296,820 = 296,820/x
  3. Step 3: Cross multiply
    128,226x = 296,820 × 296,820
  4. Step 4: Simplify right side
    128,226x = 88,102,112,400
  5. Step 5: Solve for x
    x = 88,102,112,400/128,226
  6. Step 6: Final answer
    x = 687,084.62

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.