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Finding the Third Proportional to 85,071 and 121,774.50

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Solution

The third proportional to 85,071 and 121,774.50 is: 174,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,071 : 121,774.50 = 121,774.50 : x
  2. Step 2: Convert to fraction form
    85,071/121,774.50 = 121,774.50/x
  3. Step 3: Cross multiply
    85,071x = 121,774.50 × 121,774.50
  4. Step 4: Simplify right side
    85,071x = 14,829,028,850.25
  5. Step 5: Solve for x
    x = 14,829,028,850.25/85,071
  6. Step 6: Final answer
    x = 174,313.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.