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Finding the Third Proportional to 147,840 and 231,651

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Solution

The third proportional to 147,840 and 231,651 is: 362,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,840 : 231,651 = 231,651 : x
  2. Step 2: Convert to fraction form
    147,840/231,651 = 231,651/x
  3. Step 3: Cross multiply
    147,840x = 231,651 × 231,651
  4. Step 4: Simplify right side
    147,840x = 53,662,185,801
  5. Step 5: Solve for x
    x = 53,662,185,801/147,840
  6. Step 6: Final answer
    x = 362,974.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.