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Finding the Third Proportional to 78,653 and 124,601

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Solution

The third proportional to 78,653 and 124,601 is: 197,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,653 : 124,601 = 124,601 : x
  2. Step 2: Convert to fraction form
    78,653/124,601 = 124,601/x
  3. Step 3: Cross multiply
    78,653x = 124,601 × 124,601
  4. Step 4: Simplify right side
    78,653x = 15,525,409,201
  5. Step 5: Solve for x
    x = 15,525,409,201/78,653
  6. Step 6: Final answer
    x = 197,391.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.