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Finding the Third Proportional to 138,153 and 295,905

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Solution

The third proportional to 138,153 and 295,905 is: 633,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,153 : 295,905 = 295,905 : x
  2. Step 2: Convert to fraction form
    138,153/295,905 = 295,905/x
  3. Step 3: Cross multiply
    138,153x = 295,905 × 295,905
  4. Step 4: Simplify right side
    138,153x = 87,559,769,025
  5. Step 5: Solve for x
    x = 87,559,769,025/138,153
  6. Step 6: Final answer
    x = 633,788.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.