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Finding the Third Proportional to 413,475 and 853,518

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Solution

The third proportional to 413,475 and 853,518 is: 1,761,879.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,475 : 853,518 = 853,518 : x
  2. Step 2: Convert to fraction form
    413,475/853,518 = 853,518/x
  3. Step 3: Cross multiply
    413,475x = 853,518 × 853,518
  4. Step 4: Simplify right side
    413,475x = 728,492,976,324
  5. Step 5: Solve for x
    x = 728,492,976,324/413,475
  6. Step 6: Final answer
    x = 1,761,879.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.