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Finding the Third Proportional to 85,628 and 121,716

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Solution

The third proportional to 85,628 and 121,716 is: 173,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,628 : 121,716 = 121,716 : x
  2. Step 2: Convert to fraction form
    85,628/121,716 = 121,716/x
  3. Step 3: Cross multiply
    85,628x = 121,716 × 121,716
  4. Step 4: Simplify right side
    85,628x = 14,814,784,656
  5. Step 5: Solve for x
    x = 14,814,784,656/85,628
  6. Step 6: Final answer
    x = 173,013.32

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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.