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Finding the Third Proportional to 51,400.20 and 118,983.62

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Solution

The third proportional to 51,400.20 and 118,983.62 is: 275,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,400.20 : 118,983.62 = 118,983.62 : x
  2. Step 2: Convert to fraction form
    51,400.20/118,983.62 = 118,983.62/x
  3. Step 3: Cross multiply
    51,400.20x = 118,983.62 × 118,983.62
  4. Step 4: Simplify right side
    51,400.20x = 14,157,102,088.58
  5. Step 5: Solve for x
    x = 14,157,102,088.58/51,400.20
  6. Step 6: Final answer
    x = 275,428.96

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.