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Finding the Third Proportional to 436,530 and 672,816

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Solution

The third proportional to 436,530 and 672,816 is: 1,036,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,530 : 672,816 = 672,816 : x
  2. Step 2: Convert to fraction form
    436,530/672,816 = 672,816/x
  3. Step 3: Cross multiply
    436,530x = 672,816 × 672,816
  4. Step 4: Simplify right side
    436,530x = 452,681,369,856
  5. Step 5: Solve for x
    x = 452,681,369,856/436,530
  6. Step 6: Final answer
    x = 1,036,999.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.