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Finding the Third Proportional to 413,916 and 905,328

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Solution

The third proportional to 413,916 and 905,328 is: 1,980,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,916 : 905,328 = 905,328 : x
  2. Step 2: Convert to fraction form
    413,916/905,328 = 905,328/x
  3. Step 3: Cross multiply
    413,916x = 905,328 × 905,328
  4. Step 4: Simplify right side
    413,916x = 819,618,787,584
  5. Step 5: Solve for x
    x = 819,618,787,584/413,916
  6. Step 6: Final answer
    x = 1,980,157.30

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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.