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Finding the Third Proportional to 64,080 and 137,408

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Solution

The third proportional to 64,080 and 137,408 is: 294,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,080 : 137,408 = 137,408 : x
  2. Step 2: Convert to fraction form
    64,080/137,408 = 137,408/x
  3. Step 3: Cross multiply
    64,080x = 137,408 × 137,408
  4. Step 4: Simplify right side
    64,080x = 18,880,958,464
  5. Step 5: Solve for x
    x = 18,880,958,464/64,080
  6. Step 6: Final answer
    x = 294,646.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.