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Finding the Third Proportional to 315,665 and 425,301

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Solution

The third proportional to 315,665 and 425,301 is: 573,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,665 : 425,301 = 425,301 : x
  2. Step 2: Convert to fraction form
    315,665/425,301 = 425,301/x
  3. Step 3: Cross multiply
    315,665x = 425,301 × 425,301
  4. Step 4: Simplify right side
    315,665x = 180,880,940,601
  5. Step 5: Solve for x
    x = 180,880,940,601/315,665
  6. Step 6: Final answer
    x = 573,015.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.