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Finding the Third Proportional to 78,437.81 and 117,835.31

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Solution

The third proportional to 78,437.81 and 117,835.31 is: 177,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,437.81 : 117,835.31 = 117,835.31 : x
  2. Step 2: Convert to fraction form
    78,437.81/117,835.31 = 117,835.31/x
  3. Step 3: Cross multiply
    78,437.81x = 117,835.31 × 117,835.31
  4. Step 4: Simplify right side
    78,437.81x = 13,885,160,871.97
  5. Step 5: Solve for x
    x = 13,885,160,871.97/78,437.81
  6. Step 6: Final answer
    x = 177,021.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.