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Finding the Third Proportional to 78,780.94 and 172,869.19

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Solution

The third proportional to 78,780.94 and 172,869.19 is: 379,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,780.94 : 172,869.19 = 172,869.19 : x
  2. Step 2: Convert to fraction form
    78,780.94/172,869.19 = 172,869.19/x
  3. Step 3: Cross multiply
    78,780.94x = 172,869.19 × 172,869.19
  4. Step 4: Simplify right side
    78,780.94x = 29,883,755,986.91
  5. Step 5: Solve for x
    x = 29,883,755,986.91/78,780.94
  6. Step 6: Final answer
    x = 379,327.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.