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Finding the Third Proportional to 77,461 and 169,137

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Solution

The third proportional to 77,461 and 169,137 is: 369,312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,461 : 169,137 = 169,137 : x
  2. Step 2: Convert to fraction form
    77,461/169,137 = 169,137/x
  3. Step 3: Cross multiply
    77,461x = 169,137 × 169,137
  4. Step 4: Simplify right side
    77,461x = 28,607,324,769
  5. Step 5: Solve for x
    x = 28,607,324,769/77,461
  6. Step 6: Final answer
    x = 369,312.62

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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.