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Finding the Third Proportional to 155,985 and 231,683

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Solution

The third proportional to 155,985 and 231,683 is: 344,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,985 : 231,683 = 231,683 : x
  2. Step 2: Convert to fraction form
    155,985/231,683 = 231,683/x
  3. Step 3: Cross multiply
    155,985x = 231,683 × 231,683
  4. Step 4: Simplify right side
    155,985x = 53,677,012,489
  5. Step 5: Solve for x
    x = 53,677,012,489/155,985
  6. Step 6: Final answer
    x = 344,116.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.