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Finding the Third Proportional to 77,980.50 and 165,681

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Solution

The third proportional to 77,980.50 and 165,681 is: 352,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,980.50 : 165,681 = 165,681 : x
  2. Step 2: Convert to fraction form
    77,980.50/165,681 = 165,681/x
  3. Step 3: Cross multiply
    77,980.50x = 165,681 × 165,681
  4. Step 4: Simplify right side
    77,980.50x = 27,450,193,761
  5. Step 5: Solve for x
    x = 27,450,193,761/77,980.50
  6. Step 6: Final answer
    x = 352,013.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.