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Finding the Third Proportional to 64,880 and 139,762

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Solution

The third proportional to 64,880 and 139,762 is: 301,069.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,880 : 139,762 = 139,762 : x
  2. Step 2: Convert to fraction form
    64,880/139,762 = 139,762/x
  3. Step 3: Cross multiply
    64,880x = 139,762 × 139,762
  4. Step 4: Simplify right side
    64,880x = 19,533,416,644
  5. Step 5: Solve for x
    x = 19,533,416,644/64,880
  6. Step 6: Final answer
    x = 301,069.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.