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Finding the Third Proportional to 128,361 and 286,237

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Solution

The third proportional to 128,361 and 286,237 is: 638,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,361 : 286,237 = 286,237 : x
  2. Step 2: Convert to fraction form
    128,361/286,237 = 286,237/x
  3. Step 3: Cross multiply
    128,361x = 286,237 × 286,237
  4. Step 4: Simplify right side
    128,361x = 81,931,620,169
  5. Step 5: Solve for x
    x = 81,931,620,169/128,361
  6. Step 6: Final answer
    x = 638,290.60

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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.