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Finding the Third Proportional to 128,216 and 233,285

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Solution

The third proportional to 128,216 and 233,285 is: 424,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,216 : 233,285 = 233,285 : x
  2. Step 2: Convert to fraction form
    128,216/233,285 = 233,285/x
  3. Step 3: Cross multiply
    128,216x = 233,285 × 233,285
  4. Step 4: Simplify right side
    128,216x = 54,421,891,225
  5. Step 5: Solve for x
    x = 54,421,891,225/128,216
  6. Step 6: Final answer
    x = 424,454.76

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.