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Finding the Third Proportional to 420,963 and 930,520

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Solution

The third proportional to 420,963 and 930,520 is: 2,056,873.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,963 : 930,520 = 930,520 : x
  2. Step 2: Convert to fraction form
    420,963/930,520 = 930,520/x
  3. Step 3: Cross multiply
    420,963x = 930,520 × 930,520
  4. Step 4: Simplify right side
    420,963x = 865,867,470,400
  5. Step 5: Solve for x
    x = 865,867,470,400/420,963
  6. Step 6: Final answer
    x = 2,056,873.10

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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.