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Finding the Third Proportional to 60,400 and 136,459

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Solution

The third proportional to 60,400 and 136,459 is: 308,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,400 : 136,459 = 136,459 : x
  2. Step 2: Convert to fraction form
    60,400/136,459 = 136,459/x
  3. Step 3: Cross multiply
    60,400x = 136,459 × 136,459
  4. Step 4: Simplify right side
    60,400x = 18,621,058,681
  5. Step 5: Solve for x
    x = 18,621,058,681/60,400
  6. Step 6: Final answer
    x = 308,295.67

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.