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Finding the Third Proportional to 77,743 and 169,557

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Solution

The third proportional to 77,743 and 169,557 is: 369,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,743 : 169,557 = 169,557 : x
  2. Step 2: Convert to fraction form
    77,743/169,557 = 169,557/x
  3. Step 3: Cross multiply
    77,743x = 169,557 × 169,557
  4. Step 4: Simplify right side
    77,743x = 28,749,576,249
  5. Step 5: Solve for x
    x = 28,749,576,249/77,743
  6. Step 6: Final answer
    x = 369,802.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.