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Finding the Third Proportional to 77,458.50 and 164,221.88

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Solution

The third proportional to 77,458.50 and 164,221.88 is: 348,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,458.50 : 164,221.88 = 164,221.88 : x
  2. Step 2: Convert to fraction form
    77,458.50/164,221.88 = 164,221.88/x
  3. Step 3: Cross multiply
    77,458.50x = 164,221.88 × 164,221.88
  4. Step 4: Simplify right side
    77,458.50x = 26,968,824,228.52
  5. Step 5: Solve for x
    x = 26,968,824,228.52/77,458.50
  6. Step 6: Final answer
    x = 348,171.27

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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.