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Finding the Third Proportional to 262,988 and 427,270

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Solution

The third proportional to 262,988 and 427,270 is: 694,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,988 : 427,270 = 427,270 : x
  2. Step 2: Convert to fraction form
    262,988/427,270 = 427,270/x
  3. Step 3: Cross multiply
    262,988x = 427,270 × 427,270
  4. Step 4: Simplify right side
    262,988x = 182,559,652,900
  5. Step 5: Solve for x
    x = 182,559,652,900/262,988
  6. Step 6: Final answer
    x = 694,174.84

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.