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Finding the Third Proportional to 138,088 and 295,840

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Solution

The third proportional to 138,088 and 295,840 is: 633,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,088 : 295,840 = 295,840 : x
  2. Step 2: Convert to fraction form
    138,088/295,840 = 295,840/x
  3. Step 3: Cross multiply
    138,088x = 295,840 × 295,840
  4. Step 4: Simplify right side
    138,088x = 87,521,305,600
  5. Step 5: Solve for x
    x = 87,521,305,600/138,088
  6. Step 6: Final answer
    x = 633,808.19

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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.