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Finding the Third Proportional to 77,462 and 169,138

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Solution

The third proportional to 77,462 and 169,138 is: 369,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,462 : 169,138 = 169,138 : x
  2. Step 2: Convert to fraction form
    77,462/169,138 = 169,138/x
  3. Step 3: Cross multiply
    77,462x = 169,138 × 169,138
  4. Step 4: Simplify right side
    77,462x = 28,607,663,044
  5. Step 5: Solve for x
    x = 28,607,663,044/77,462
  6. Step 6: Final answer
    x = 369,312.22

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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.