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Finding the Third Proportional to 84,507.75 and 118,140.75

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Solution

The third proportional to 84,507.75 and 118,140.75 is: 165,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,507.75 : 118,140.75 = 118,140.75 : x
  2. Step 2: Convert to fraction form
    84,507.75/118,140.75 = 118,140.75/x
  3. Step 3: Cross multiply
    84,507.75x = 118,140.75 × 118,140.75
  4. Step 4: Simplify right side
    84,507.75x = 13,957,236,810.56
  5. Step 5: Solve for x
    x = 13,957,236,810.56/84,507.75
  6. Step 6: Final answer
    x = 165,159.25

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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.