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Finding the Third Proportional to 259,224 and 392,457

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Solution

The third proportional to 259,224 and 392,457 is: 594,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,224 : 392,457 = 392,457 : x
  2. Step 2: Convert to fraction form
    259,224/392,457 = 392,457/x
  3. Step 3: Cross multiply
    259,224x = 392,457 × 392,457
  4. Step 4: Simplify right side
    259,224x = 154,022,496,849
  5. Step 5: Solve for x
    x = 154,022,496,849/259,224
  6. Step 6: Final answer
    x = 594,167.58

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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.