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Finding the Third Proportional to 77,895 and 169,458

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Solution

The third proportional to 77,895 and 169,458 is: 368,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,895 : 169,458 = 169,458 : x
  2. Step 2: Convert to fraction form
    77,895/169,458 = 169,458/x
  3. Step 3: Cross multiply
    77,895x = 169,458 × 169,458
  4. Step 4: Simplify right side
    77,895x = 28,716,013,764
  5. Step 5: Solve for x
    x = 28,716,013,764/77,895
  6. Step 6: Final answer
    x = 368,650.28

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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.