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Finding the Third Proportional to 664,600 and 1,457,857

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Solution

The third proportional to 664,600 and 1,457,857 is: 3,197,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,600 : 1,457,857 = 1,457,857 : x
  2. Step 2: Convert to fraction form
    664,600/1,457,857 = 1,457,857/x
  3. Step 3: Cross multiply
    664,600x = 1,457,857 × 1,457,857
  4. Step 4: Simplify right side
    664,600x = 2,125,347,032,449
  5. Step 5: Solve for x
    x = 2,125,347,032,449/664,600
  6. Step 6: Final answer
    x = 3,197,934.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.