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Finding the Third Proportional to 64,887 and 139,472

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Solution

The third proportional to 64,887 and 139,472 is: 299,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,887 : 139,472 = 139,472 : x
  2. Step 2: Convert to fraction form
    64,887/139,472 = 139,472/x
  3. Step 3: Cross multiply
    64,887x = 139,472 × 139,472
  4. Step 4: Simplify right side
    64,887x = 19,452,438,784
  5. Step 5: Solve for x
    x = 19,452,438,784/64,887
  6. Step 6: Final answer
    x = 299,789.46

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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.