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Finding the Third Proportional to 64,305 and 139,342

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Solution

The third proportional to 64,305 and 139,342 is: 301,939.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,305 : 139,342 = 139,342 : x
  2. Step 2: Convert to fraction form
    64,305/139,342 = 139,342/x
  3. Step 3: Cross multiply
    64,305x = 139,342 × 139,342
  4. Step 4: Simplify right side
    64,305x = 19,416,192,964
  5. Step 5: Solve for x
    x = 19,416,192,964/64,305
  6. Step 6: Final answer
    x = 301,939.09

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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.