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Finding the Third Proportional to 138,755 and 287,356

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Solution

The third proportional to 138,755 and 287,356 is: 595,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,755 : 287,356 = 287,356 : x
  2. Step 2: Convert to fraction form
    138,755/287,356 = 287,356/x
  3. Step 3: Cross multiply
    138,755x = 287,356 × 287,356
  4. Step 4: Simplify right side
    138,755x = 82,573,470,736
  5. Step 5: Solve for x
    x = 82,573,470,736/138,755
  6. Step 6: Final answer
    x = 595,102.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.