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Finding the Third Proportional to 79,730 and 169,178

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Solution

The third proportional to 79,730 and 169,178 is: 358,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,730 : 169,178 = 169,178 : x
  2. Step 2: Convert to fraction form
    79,730/169,178 = 169,178/x
  3. Step 3: Cross multiply
    79,730x = 169,178 × 169,178
  4. Step 4: Simplify right side
    79,730x = 28,621,195,684
  5. Step 5: Solve for x
    x = 28,621,195,684/79,730
  6. Step 6: Final answer
    x = 358,976.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.