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Finding the Third Proportional to 430,494 and 938,493

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Solution

The third proportional to 430,494 and 938,493 is: 2,045,949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,494 : 938,493 = 938,493 : x
  2. Step 2: Convert to fraction form
    430,494/938,493 = 938,493/x
  3. Step 3: Cross multiply
    430,494x = 938,493 × 938,493
  4. Step 4: Simplify right side
    430,494x = 880,769,111,049
  5. Step 5: Solve for x
    x = 880,769,111,049/430,494
  6. Step 6: Final answer
    x = 2,045,949.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.