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Finding the Third Proportional to 403,515 and 885,396

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Solution

The third proportional to 403,515 and 885,396 is: 1,942,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,515 : 885,396 = 885,396 : x
  2. Step 2: Convert to fraction form
    403,515/885,396 = 885,396/x
  3. Step 3: Cross multiply
    403,515x = 885,396 × 885,396
  4. Step 4: Simplify right side
    403,515x = 783,926,076,816
  5. Step 5: Solve for x
    x = 783,926,076,816/403,515
  6. Step 6: Final answer
    x = 1,942,743.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.