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Finding the Third Proportional to 78,306.75 and 118,553.63

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Solution

The third proportional to 78,306.75 and 118,553.63 is: 179,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,306.75 : 118,553.63 = 118,553.63 : x
  2. Step 2: Convert to fraction form
    78,306.75/118,553.63 = 118,553.63/x
  3. Step 3: Cross multiply
    78,306.75x = 118,553.63 × 118,553.63
  4. Step 4: Simplify right side
    78,306.75x = 14,054,962,000.64
  5. Step 5: Solve for x
    x = 14,054,962,000.64/78,306.75
  6. Step 6: Final answer
    x = 179,485.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.