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Finding the Third Proportional to 161,304 and 258,972

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Solution

The third proportional to 161,304 and 258,972 is: 415,777.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,304 : 258,972 = 258,972 : x
  2. Step 2: Convert to fraction form
    161,304/258,972 = 258,972/x
  3. Step 3: Cross multiply
    161,304x = 258,972 × 258,972
  4. Step 4: Simplify right side
    161,304x = 67,066,496,784
  5. Step 5: Solve for x
    x = 67,066,496,784/161,304
  6. Step 6: Final answer
    x = 415,777.02

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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.