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Finding the Third Proportional to 78,944.63 and 102,421.13

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Solution

The third proportional to 78,944.63 and 102,421.13 is: 132,879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,944.63 : 102,421.13 = 102,421.13 : x
  2. Step 2: Convert to fraction form
    78,944.63/102,421.13 = 102,421.13/x
  3. Step 3: Cross multiply
    78,944.63x = 102,421.13 × 102,421.13
  4. Step 4: Simplify right side
    78,944.63x = 10,490,086,846.27
  5. Step 5: Solve for x
    x = 10,490,086,846.27/78,944.63
  6. Step 6: Final answer
    x = 132,879.05

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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.