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Finding the Third Proportional to 78,258 and 117,747

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Solution

The third proportional to 78,258 and 117,747 is: 177,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,258 : 117,747 = 117,747 : x
  2. Step 2: Convert to fraction form
    78,258/117,747 = 117,747/x
  3. Step 3: Cross multiply
    78,258x = 117,747 × 117,747
  4. Step 4: Simplify right side
    78,258x = 13,864,356,009
  5. Step 5: Solve for x
    x = 13,864,356,009/78,258
  6. Step 6: Final answer
    x = 177,162.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.