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Finding the Third Proportional to 77,985.75 and 123,964.50

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Solution

The third proportional to 77,985.75 and 123,964.50 is: 197,051.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,985.75 : 123,964.50 = 123,964.50 : x
  2. Step 2: Convert to fraction form
    77,985.75/123,964.50 = 123,964.50/x
  3. Step 3: Cross multiply
    77,985.75x = 123,964.50 × 123,964.50
  4. Step 4: Simplify right side
    77,985.75x = 15,367,197,260.25
  5. Step 5: Solve for x
    x = 15,367,197,260.25/77,985.75
  6. Step 6: Final answer
    x = 197,051.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.