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Finding the Third Proportional to 84,678.63 and 129,945.94

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Solution

The third proportional to 84,678.63 and 129,945.94 is: 199,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,678.63 : 129,945.94 = 129,945.94 : x
  2. Step 2: Convert to fraction form
    84,678.63/129,945.94 = 129,945.94/x
  3. Step 3: Cross multiply
    84,678.63x = 129,945.94 × 129,945.94
  4. Step 4: Simplify right side
    84,678.63x = 16,885,946,672.75
  5. Step 5: Solve for x
    x = 16,885,946,672.75/84,678.63
  6. Step 6: Final answer
    x = 199,412.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.