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Finding the Third Proportional to 69,088 and 106,686.50

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Solution

The third proportional to 69,088 and 106,686.50 is: 164,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,088 : 106,686.50 = 106,686.50 : x
  2. Step 2: Convert to fraction form
    69,088/106,686.50 = 106,686.50/x
  3. Step 3: Cross multiply
    69,088x = 106,686.50 × 106,686.50
  4. Step 4: Simplify right side
    69,088x = 11,382,009,282.25
  5. Step 5: Solve for x
    x = 11,382,009,282.25/69,088
  6. Step 6: Final answer
    x = 164,746.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.