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Finding the Third Proportional to 77,281.50 and 164,769

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Solution

The third proportional to 77,281.50 and 164,769 is: 351,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,281.50 : 164,769 = 164,769 : x
  2. Step 2: Convert to fraction form
    77,281.50/164,769 = 164,769/x
  3. Step 3: Cross multiply
    77,281.50x = 164,769 × 164,769
  4. Step 4: Simplify right side
    77,281.50x = 27,148,823,361
  5. Step 5: Solve for x
    x = 27,148,823,361/77,281.50
  6. Step 6: Final answer
    x = 351,297.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.