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Finding the Third Proportional to 78,969 and 102,457.50

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Solution

The third proportional to 78,969 and 102,457.50 is: 132,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,969 : 102,457.50 = 102,457.50 : x
  2. Step 2: Convert to fraction form
    78,969/102,457.50 = 102,457.50/x
  3. Step 3: Cross multiply
    78,969x = 102,457.50 × 102,457.50
  4. Step 4: Simplify right side
    78,969x = 10,497,539,306.25
  5. Step 5: Solve for x
    x = 10,497,539,306.25/78,969
  6. Step 6: Final answer
    x = 132,932.41

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.