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Finding the Third Proportional to 84,753 and 114,977.25

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Solution

The third proportional to 84,753 and 114,977.25 is: 155,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,753 : 114,977.25 = 114,977.25 : x
  2. Step 2: Convert to fraction form
    84,753/114,977.25 = 114,977.25/x
  3. Step 3: Cross multiply
    84,753x = 114,977.25 × 114,977.25
  4. Step 4: Simplify right side
    84,753x = 13,219,768,017.56
  5. Step 5: Solve for x
    x = 13,219,768,017.56/84,753
  6. Step 6: Final answer
    x = 155,979.94

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