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Finding the Third Proportional to 84,510 and 118,158.75

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Solution

The third proportional to 84,510 and 118,158.75 is: 165,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,510 : 118,158.75 = 118,158.75 : x
  2. Step 2: Convert to fraction form
    84,510/118,158.75 = 118,158.75/x
  3. Step 3: Cross multiply
    84,510x = 118,158.75 × 118,158.75
  4. Step 4: Simplify right side
    84,510x = 13,961,490,201.56
  5. Step 5: Solve for x
    x = 13,961,490,201.56/84,510
  6. Step 6: Final answer
    x = 165,205.19

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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.