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Finding the Third Proportional to 55,852.50 and 78,129

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Solution

The third proportional to 55,852.50 and 78,129 is: 109,290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,852.50 : 78,129 = 78,129 : x
  2. Step 2: Convert to fraction form
    55,852.50/78,129 = 78,129/x
  3. Step 3: Cross multiply
    55,852.50x = 78,129 × 78,129
  4. Step 4: Simplify right side
    55,852.50x = 6,104,140,641
  5. Step 5: Solve for x
    x = 6,104,140,641/55,852.50
  6. Step 6: Final answer
    x = 109,290.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.