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Finding the Third Proportional to 137.40 and 317.87

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Solution

The third proportional to 137.40 and 317.87 is: 735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.40 : 317.87 = 317.87 : x
  2. Step 2: Convert to fraction form
    137.40/317.87 = 317.87/x
  3. Step 3: Cross multiply
    137.40x = 317.87 × 317.87
  4. Step 4: Simplify right side
    137.40x = 101,041.10
  5. Step 5: Solve for x
    x = 101,041.10/137.40
  6. Step 6: Final answer
    x = 735.38

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.