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Finding the Third Proportional to 137,245.50 and 291,987

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Solution

The third proportional to 137,245.50 and 291,987 is: 621,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,245.50 : 291,987 = 291,987 : x
  2. Step 2: Convert to fraction form
    137,245.50/291,987 = 291,987/x
  3. Step 3: Cross multiply
    137,245.50x = 291,987 × 291,987
  4. Step 4: Simplify right side
    137,245.50x = 85,256,408,169
  5. Step 5: Solve for x
    x = 85,256,408,169/137,245.50
  6. Step 6: Final answer
    x = 621,196.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.