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Finding the Third Proportional to 128,362 and 286,239

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Solution

The third proportional to 128,362 and 286,239 is: 638,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,362 : 286,239 = 286,239 : x
  2. Step 2: Convert to fraction form
    128,362/286,239 = 286,239/x
  3. Step 3: Cross multiply
    128,362x = 286,239 × 286,239
  4. Step 4: Simplify right side
    128,362x = 81,932,765,121
  5. Step 5: Solve for x
    x = 81,932,765,121/128,362
  6. Step 6: Final answer
    x = 638,294.55

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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.