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Finding the Third Proportional to 77,714.85 and 123,578.85

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Solution

The third proportional to 77,714.85 and 123,578.85 is: 196,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,714.85 : 123,578.85 = 123,578.85 : x
  2. Step 2: Convert to fraction form
    77,714.85/123,578.85 = 123,578.85/x
  3. Step 3: Cross multiply
    77,714.85x = 123,578.85 × 123,578.85
  4. Step 4: Simplify right side
    77,714.85x = 15,271,731,769.07
  5. Step 5: Solve for x
    x = 15,271,731,769.07/77,714.85
  6. Step 6: Final answer
    x = 196,509.82

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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.