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Finding the Third Proportional to 65,454.75 and 138,699

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Solution

The third proportional to 65,454.75 and 138,699 is: 293,904.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,454.75 : 138,699 = 138,699 : x
  2. Step 2: Convert to fraction form
    65,454.75/138,699 = 138,699/x
  3. Step 3: Cross multiply
    65,454.75x = 138,699 × 138,699
  4. Step 4: Simplify right side
    65,454.75x = 19,237,412,601
  5. Step 5: Solve for x
    x = 19,237,412,601/65,454.75
  6. Step 6: Final answer
    x = 293,904.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.