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Finding the Third Proportional to 138,567 and 296,088

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Solution

The third proportional to 138,567 and 296,088 is: 632,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,567 : 296,088 = 296,088 : x
  2. Step 2: Convert to fraction form
    138,567/296,088 = 296,088/x
  3. Step 3: Cross multiply
    138,567x = 296,088 × 296,088
  4. Step 4: Simplify right side
    138,567x = 87,668,103,744
  5. Step 5: Solve for x
    x = 87,668,103,744/138,567
  6. Step 6: Final answer
    x = 632,676.64

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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.