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Finding the Third Proportional to 386,479.69 and 824,311.69

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Solution

The third proportional to 386,479.69 and 824,311.69 is: 1,758,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,479.69 : 824,311.69 = 824,311.69 : x
  2. Step 2: Convert to fraction form
    386,479.69/824,311.69 = 824,311.69/x
  3. Step 3: Cross multiply
    386,479.69x = 824,311.69 × 824,311.69
  4. Step 4: Simplify right side
    386,479.69x = 679,489,758,149.10
  5. Step 5: Solve for x
    x = 679,489,758,149.10/386,479.69
  6. Step 6: Final answer
    x = 1,758,151.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.