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Finding the Third Proportional to 64,439 and 139,948

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Solution

The third proportional to 64,439 and 139,948 is: 303,937.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,439 : 139,948 = 139,948 : x
  2. Step 2: Convert to fraction form
    64,439/139,948 = 139,948/x
  3. Step 3: Cross multiply
    64,439x = 139,948 × 139,948
  4. Step 4: Simplify right side
    64,439x = 19,585,442,704
  5. Step 5: Solve for x
    x = 19,585,442,704/64,439
  6. Step 6: Final answer
    x = 303,937.72

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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.