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Finding the Third Proportional to 801,714 and 1,289,457

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Solution

The third proportional to 801,714 and 1,289,457 is: 2,073,930.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,714 : 1,289,457 = 1,289,457 : x
  2. Step 2: Convert to fraction form
    801,714/1,289,457 = 1,289,457/x
  3. Step 3: Cross multiply
    801,714x = 1,289,457 × 1,289,457
  4. Step 4: Simplify right side
    801,714x = 1,662,699,354,849
  5. Step 5: Solve for x
    x = 1,662,699,354,849/801,714
  6. Step 6: Final answer
    x = 2,073,930.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.