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Finding the Third Proportional to 389,620 and 827,354

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Solution

The third proportional to 389,620 and 827,354 is: 1,756,877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,620 : 827,354 = 827,354 : x
  2. Step 2: Convert to fraction form
    389,620/827,354 = 827,354/x
  3. Step 3: Cross multiply
    389,620x = 827,354 × 827,354
  4. Step 4: Simplify right side
    389,620x = 684,514,641,316
  5. Step 5: Solve for x
    x = 684,514,641,316/389,620
  6. Step 6: Final answer
    x = 1,756,877.58

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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.