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Finding the Third Proportional to 411,480 and 899,856

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Solution

The third proportional to 411,480 and 899,856 is: 1,967,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,480 : 899,856 = 899,856 : x
  2. Step 2: Convert to fraction form
    411,480/899,856 = 899,856/x
  3. Step 3: Cross multiply
    411,480x = 899,856 × 899,856
  4. Step 4: Simplify right side
    411,480x = 809,740,820,736
  5. Step 5: Solve for x
    x = 809,740,820,736/411,480
  6. Step 6: Final answer
    x = 1,967,874.07

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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.