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Finding the Third Proportional to 64,272 and 139,236

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Solution

The third proportional to 64,272 and 139,236 is: 301,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,272 : 139,236 = 139,236 : x
  2. Step 2: Convert to fraction form
    64,272/139,236 = 139,236/x
  3. Step 3: Cross multiply
    64,272x = 139,236 × 139,236
  4. Step 4: Simplify right side
    64,272x = 19,386,663,696
  5. Step 5: Solve for x
    x = 19,386,663,696/64,272
  6. Step 6: Final answer
    x = 301,634.67

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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.