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Finding the Third Proportional to 84,738 and 161,780

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Solution

The third proportional to 84,738 and 161,780 is: 308,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,738 : 161,780 = 161,780 : x
  2. Step 2: Convert to fraction form
    84,738/161,780 = 161,780/x
  3. Step 3: Cross multiply
    84,738x = 161,780 × 161,780
  4. Step 4: Simplify right side
    84,738x = 26,172,768,400
  5. Step 5: Solve for x
    x = 26,172,768,400/84,738
  6. Step 6: Final answer
    x = 308,866.96

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.