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Finding the Third Proportional to 76,964.50 and 122,948.50

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Solution

The third proportional to 76,964.50 and 122,948.50 is: 196,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,964.50 : 122,948.50 = 122,948.50 : x
  2. Step 2: Convert to fraction form
    76,964.50/122,948.50 = 122,948.50/x
  3. Step 3: Cross multiply
    76,964.50x = 122,948.50 × 122,948.50
  4. Step 4: Simplify right side
    76,964.50x = 15,116,333,652.25
  5. Step 5: Solve for x
    x = 15,116,333,652.25/76,964.50
  6. Step 6: Final answer
    x = 196,406.57

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.