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Finding the Third Proportional to 78,458 and 169,796

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Solution

The third proportional to 78,458 and 169,796 is: 367,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,458 : 169,796 = 169,796 : x
  2. Step 2: Convert to fraction form
    78,458/169,796 = 169,796/x
  3. Step 3: Cross multiply
    78,458x = 169,796 × 169,796
  4. Step 4: Simplify right side
    78,458x = 28,830,681,616
  5. Step 5: Solve for x
    x = 28,830,681,616/78,458
  6. Step 6: Final answer
    x = 367,466.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.