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Finding the Third Proportional to 137,599.13 and 218,905.50

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Solution

The third proportional to 137,599.13 and 218,905.50 is: 348,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,599.13 : 218,905.50 = 218,905.50 : x
  2. Step 2: Convert to fraction form
    137,599.13/218,905.50 = 218,905.50/x
  3. Step 3: Cross multiply
    137,599.13x = 218,905.50 × 218,905.50
  4. Step 4: Simplify right side
    137,599.13x = 47,919,617,930.25
  5. Step 5: Solve for x
    x = 47,919,617,930.25/137,599.13
  6. Step 6: Final answer
    x = 348,255.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.