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Finding the Third Proportional to 55,830 and 75,813

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Solution

The third proportional to 55,830 and 75,813 is: 102,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,830 : 75,813 = 75,813 : x
  2. Step 2: Convert to fraction form
    55,830/75,813 = 75,813/x
  3. Step 3: Cross multiply
    55,830x = 75,813 × 75,813
  4. Step 4: Simplify right side
    55,830x = 5,747,610,969
  5. Step 5: Solve for x
    x = 5,747,610,969/55,830
  6. Step 6: Final answer
    x = 102,948.43

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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.