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Finding the Third Proportional to 64,176 and 139,541

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Solution

The third proportional to 64,176 and 139,541 is: 303,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,176 : 139,541 = 139,541 : x
  2. Step 2: Convert to fraction form
    64,176/139,541 = 139,541/x
  3. Step 3: Cross multiply
    64,176x = 139,541 × 139,541
  4. Step 4: Simplify right side
    64,176x = 19,471,690,681
  5. Step 5: Solve for x
    x = 19,471,690,681/64,176
  6. Step 6: Final answer
    x = 303,410.79

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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.