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Finding the Third Proportional to 138,054 and 295,780

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Solution

The third proportional to 138,054 and 295,780 is: 633,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,054 : 295,780 = 295,780 : x
  2. Step 2: Convert to fraction form
    138,054/295,780 = 295,780/x
  3. Step 3: Cross multiply
    138,054x = 295,780 × 295,780
  4. Step 4: Simplify right side
    138,054x = 87,485,808,400
  5. Step 5: Solve for x
    x = 87,485,808,400/138,054
  6. Step 6: Final answer
    x = 633,707.16

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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.