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Finding the Third Proportional to 420,959 and 930,512

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Solution

The third proportional to 420,959 and 930,512 is: 2,056,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,959 : 930,512 = 930,512 : x
  2. Step 2: Convert to fraction form
    420,959/930,512 = 930,512/x
  3. Step 3: Cross multiply
    420,959x = 930,512 × 930,512
  4. Step 4: Simplify right side
    420,959x = 865,852,582,144
  5. Step 5: Solve for x
    x = 865,852,582,144/420,959
  6. Step 6: Final answer
    x = 2,056,857.28

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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.