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Finding the Third Proportional to 77,157.88 and 157,890.94

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Solution

The third proportional to 77,157.88 and 157,890.94 is: 323,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,157.88 : 157,890.94 = 157,890.94 : x
  2. Step 2: Convert to fraction form
    77,157.88/157,890.94 = 157,890.94/x
  3. Step 3: Cross multiply
    77,157.88x = 157,890.94 × 157,890.94
  4. Step 4: Simplify right side
    77,157.88x = 24,929,548,144.63
  5. Step 5: Solve for x
    x = 24,929,548,144.63/77,157.88
  6. Step 6: Final answer
    x = 323,097.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.