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Finding the Third Proportional to 75,686.25 and 102,836.25

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Solution

The third proportional to 75,686.25 and 102,836.25 is: 139,725.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,686.25 : 102,836.25 = 102,836.25 : x
  2. Step 2: Convert to fraction form
    75,686.25/102,836.25 = 102,836.25/x
  3. Step 3: Cross multiply
    75,686.25x = 102,836.25 × 102,836.25
  4. Step 4: Simplify right side
    75,686.25x = 10,575,294,314.06
  5. Step 5: Solve for x
    x = 10,575,294,314.06/75,686.25
  6. Step 6: Final answer
    x = 139,725.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.