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Finding the Third Proportional to 54,786.50 and 118,860.50

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Solution

The third proportional to 54,786.50 and 118,860.50 is: 257,870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,786.50 : 118,860.50 = 118,860.50 : x
  2. Step 2: Convert to fraction form
    54,786.50/118,860.50 = 118,860.50/x
  3. Step 3: Cross multiply
    54,786.50x = 118,860.50 × 118,860.50
  4. Step 4: Simplify right side
    54,786.50x = 14,127,818,460.25
  5. Step 5: Solve for x
    x = 14,127,818,460.25/54,786.50
  6. Step 6: Final answer
    x = 257,870.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.