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Finding the Third Proportional to 64,912 and 139,518

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Solution

The third proportional to 64,912 and 139,518 is: 299,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,912 : 139,518 = 139,518 : x
  2. Step 2: Convert to fraction form
    64,912/139,518 = 139,518/x
  3. Step 3: Cross multiply
    64,912x = 139,518 × 139,518
  4. Step 4: Simplify right side
    64,912x = 19,465,272,324
  5. Step 5: Solve for x
    x = 19,465,272,324/64,912
  6. Step 6: Final answer
    x = 299,871.71

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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.