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Finding the Third Proportional to 155,620 and 335,816

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Solution

The third proportional to 155,620 and 335,816 is: 724,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,620 : 335,816 = 335,816 : x
  2. Step 2: Convert to fraction form
    155,620/335,816 = 335,816/x
  3. Step 3: Cross multiply
    155,620x = 335,816 × 335,816
  4. Step 4: Simplify right side
    155,620x = 112,772,385,856
  5. Step 5: Solve for x
    x = 112,772,385,856/155,620
  6. Step 6: Final answer
    x = 724,665.12

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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.