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Finding the Third Proportional to 151,643 and 231,137

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Solution

The third proportional to 151,643 and 231,137 is: 352,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,643 : 231,137 = 231,137 : x
  2. Step 2: Convert to fraction form
    151,643/231,137 = 231,137/x
  3. Step 3: Cross multiply
    151,643x = 231,137 × 231,137
  4. Step 4: Simplify right side
    151,643x = 53,424,312,769
  5. Step 5: Solve for x
    x = 53,424,312,769/151,643
  6. Step 6: Final answer
    x = 352,303.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.