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Finding the Third Proportional to 69,258 and 103,887

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Solution

The third proportional to 69,258 and 103,887 is: 155,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,258 : 103,887 = 103,887 : x
  2. Step 2: Convert to fraction form
    69,258/103,887 = 103,887/x
  3. Step 3: Cross multiply
    69,258x = 103,887 × 103,887
  4. Step 4: Simplify right side
    69,258x = 10,792,508,769
  5. Step 5: Solve for x
    x = 10,792,508,769/69,258
  6. Step 6: Final answer
    x = 155,830.50

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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.