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Finding the Third Proportional to 85,644 and 121,729.50

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Solution

The third proportional to 85,644 and 121,729.50 is: 173,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,644 : 121,729.50 = 121,729.50 : x
  2. Step 2: Convert to fraction form
    85,644/121,729.50 = 121,729.50/x
  3. Step 3: Cross multiply
    85,644x = 121,729.50 × 121,729.50
  4. Step 4: Simplify right side
    85,644x = 14,818,071,170.25
  5. Step 5: Solve for x
    x = 14,818,071,170.25/85,644
  6. Step 6: Final answer
    x = 173,019.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.