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Finding the Third Proportional to 76,685 and 157,089

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Solution

The third proportional to 76,685 and 157,089 is: 321,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,685 : 157,089 = 157,089 : x
  2. Step 2: Convert to fraction form
    76,685/157,089 = 157,089/x
  3. Step 3: Cross multiply
    76,685x = 157,089 × 157,089
  4. Step 4: Simplify right side
    76,685x = 24,676,953,921
  5. Step 5: Solve for x
    x = 24,676,953,921/76,685
  6. Step 6: Final answer
    x = 321,796.36

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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.