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Finding the Third Proportional to 85,405.50 and 118,421.75

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Solution

The third proportional to 85,405.50 and 118,421.75 is: 164,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,405.50 : 118,421.75 = 118,421.75 : x
  2. Step 2: Convert to fraction form
    85,405.50/118,421.75 = 118,421.75/x
  3. Step 3: Cross multiply
    85,405.50x = 118,421.75 × 118,421.75
  4. Step 4: Simplify right side
    85,405.50x = 14,023,710,873.06
  5. Step 5: Solve for x
    x = 14,023,710,873.06/85,405.50
  6. Step 6: Final answer
    x = 164,201.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.