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Finding the Third Proportional to 420,961 and 930,516

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Solution

The third proportional to 420,961 and 930,516 is: 2,056,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,961 : 930,516 = 930,516 : x
  2. Step 2: Convert to fraction form
    420,961/930,516 = 930,516/x
  3. Step 3: Cross multiply
    420,961x = 930,516 × 930,516
  4. Step 4: Simplify right side
    420,961x = 865,860,026,256
  5. Step 5: Solve for x
    x = 865,860,026,256/420,961
  6. Step 6: Final answer
    x = 2,056,865.19

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.