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Finding the Third Proportional to 135,980.50 and 294,560

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Solution

The third proportional to 135,980.50 and 294,560 is: 638,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,980.50 : 294,560 = 294,560 : x
  2. Step 2: Convert to fraction form
    135,980.50/294,560 = 294,560/x
  3. Step 3: Cross multiply
    135,980.50x = 294,560 × 294,560
  4. Step 4: Simplify right side
    135,980.50x = 86,765,593,600
  5. Step 5: Solve for x
    x = 86,765,593,600/135,980.50
  6. Step 6: Final answer
    x = 638,073.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.