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Finding the Third Proportional to 77,780 and 169,816

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Solution

The third proportional to 77,780 and 169,816 is: 370,756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,780 : 169,816 = 169,816 : x
  2. Step 2: Convert to fraction form
    77,780/169,816 = 169,816/x
  3. Step 3: Cross multiply
    77,780x = 169,816 × 169,816
  4. Step 4: Simplify right side
    77,780x = 28,837,473,856
  5. Step 5: Solve for x
    x = 28,837,473,856/77,780
  6. Step 6: Final answer
    x = 370,756.93

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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.