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Finding the Third Proportional to 69,321 and 99,129

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Solution

The third proportional to 69,321 and 99,129 is: 141,754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,321 : 99,129 = 99,129 : x
  2. Step 2: Convert to fraction form
    69,321/99,129 = 99,129/x
  3. Step 3: Cross multiply
    69,321x = 99,129 × 99,129
  4. Step 4: Simplify right side
    69,321x = 9,826,558,641
  5. Step 5: Solve for x
    x = 9,826,558,641/69,321
  6. Step 6: Final answer
    x = 141,754.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.