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Finding the Third Proportional to 231,670 and 369,987

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Solution

The third proportional to 231,670 and 369,987 is: 590,885.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,670 : 369,987 = 369,987 : x
  2. Step 2: Convert to fraction form
    231,670/369,987 = 369,987/x
  3. Step 3: Cross multiply
    231,670x = 369,987 × 369,987
  4. Step 4: Simplify right side
    231,670x = 136,890,380,169
  5. Step 5: Solve for x
    x = 136,890,380,169/231,670
  6. Step 6: Final answer
    x = 590,885.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.