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Finding the Third Proportional to 64,549 and 139,821

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Solution

The third proportional to 64,549 and 139,821 is: 302,869.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,549 : 139,821 = 139,821 : x
  2. Step 2: Convert to fraction form
    64,549/139,821 = 139,821/x
  3. Step 3: Cross multiply
    64,549x = 139,821 × 139,821
  4. Step 4: Simplify right side
    64,549x = 19,549,912,041
  5. Step 5: Solve for x
    x = 19,549,912,041/64,549
  6. Step 6: Final answer
    x = 302,869.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.