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Finding the Third Proportional to 128,391 and 286,287

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Solution

The third proportional to 128,391 and 286,287 is: 638,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,391 : 286,287 = 286,287 : x
  2. Step 2: Convert to fraction form
    128,391/286,287 = 286,287/x
  3. Step 3: Cross multiply
    128,391x = 286,287 × 286,287
  4. Step 4: Simplify right side
    128,391x = 81,960,246,369
  5. Step 5: Solve for x
    x = 81,960,246,369/128,391
  6. Step 6: Final answer
    x = 638,364.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.