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Finding the Third Proportional to 813,678 and 1,226,457

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Solution

The third proportional to 813,678 and 1,226,457 is: 1,848,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,678 : 1,226,457 = 1,226,457 : x
  2. Step 2: Convert to fraction form
    813,678/1,226,457 = 1,226,457/x
  3. Step 3: Cross multiply
    813,678x = 1,226,457 × 1,226,457
  4. Step 4: Simplify right side
    813,678x = 1,504,196,772,849
  5. Step 5: Solve for x
    x = 1,504,196,772,849/813,678
  6. Step 6: Final answer
    x = 1,848,638.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.